Deck 5: Cost-Volume-Profit Analysis
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Deck 5: Cost-Volume-Profit Analysis
1
To raise funds for its community activities, a Lions' Club chapter is negotiating with International Carnivals to bring its midway rides and games to town for a three-day opening. The event will be held on part of the parking lot of a local shopping centre, which is to receive 10% of the gross revenue. The Lions' Club members will sell the ride and game tickets at the site. International Carnivals requires either $15,000 plus 30% of revenue or $10,000 plus 50% of revenue. Contacts in other towns that have held the event indicate that customers spend an average of $10 per person on rides and games.
a) What is the break-even attendance under each basis for remunerating International Carnivals?
b) For each alternative, what will be the club's profit or loss if the attendance is: (i) 3,000? (ii) 2,200?
c) How would you briefly explain the advantages and disadvantages of the two alternatives to a club member?
a) What is the break-even attendance under each basis for remunerating International Carnivals?
b) For each alternative, what will be the club's profit or loss if the attendance is: (i) 3,000? (ii) 2,200?
c) How would you briefly explain the advantages and disadvantages of the two alternatives to a club member?
a) Plan 1 = $2,500 and Plan 2 = $2,500; b) i) Plan 1 = $3,000 and Plan 2 = $2,000, ii) Plan 1 = -$1,800 and Plan 2 = -$1,200; c) If attendance surpasses the break-even point, the 30% commission rate generates the higher profit. However, if attendance falls short of the 2,500 break-even point, the 30% commission will produce the larger loss.
2
Reliable Plastics makes containers that it sells for $2.55 each. Its fixed costs for this product are $2,000 per month and the variable cost per unit is $1.30.
a) What is the break-even point in units?
b) What is the break-even sales revenue?
a) What is the break-even point in units?
b) What is the break-even sales revenue?
a) 1,600 containers per month; b) $4,080 per month
3
Toys-4-U manufactures a toy that it sells for $30 each. The variable cost per toy is $10 and the fixed costs for this product line are $100,000 per year.
a) What is the break-even point in units?
b) What is the break-even sales revenue?
a) What is the break-even point in units?
b) What is the break-even sales revenue?
a) 5,000 toys per year; b) $150,000 per year
4
Jordan is developing a business plan for a residential building inspection service he may start. Rent and utilities for an office would cost $1,000 per month. The fixed costs for a vehicle would be $450 per month. He estimates that the variable office costs (word processing and supplies) will be $50 per inspection and variable vehicle costs will be $25 per inspection. Jordan would also spend $200 per month to lease a computer, and $350 per month for advertising.
a) If he charges $275 per inspection, how many inspections per month are required before he can "pay himself?"
b) How many inspections per month are required for Jordan to be able to withdraw a salary of $4,000 per month?
a) If he charges $275 per inspection, how many inspections per month are required before he can "pay himself?"
b) How many inspections per month are required for Jordan to be able to withdraw a salary of $4,000 per month?
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5
Alpha Corp. expects to operate at 80% of capacity next year. Its forecast operating budget is:
a) What is Alpha's break-even revenue?
b) What would be Alpha's net income if it operates at full capacity?

b) What would be Alpha's net income if it operates at full capacity?
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6
Fisher Publishing Inc. is doing a financial feasibility analysis for a new book. Editing and preproduction costs are estimated at $45,000. The printing costs are a flat $7,000 for setup plus $8.00 per book. The author's royalty is 8% of the publisher's net price to bookstores. Advertising and promotion costs are budgeted at $8,000.
a) If the price to bookstores is set at $35, how many books must be sold to break even?
b) In a highest cost scenario, fixed costs might be $5,000 higher and the printing costs might be $9.00 per book. By how many books would the break-even volume be raised?
c) The marketing department is forecasting sales of 4800 books at the $35 price. What will be the net income from the project at this volume of sales?
d) The marketing department is also forecasting that, if the price is reduced by 10%, unit sales will be 15% higher. Which price should be selected? (Show calculations that support your recommendation.)
a) If the price to bookstores is set at $35, how many books must be sold to break even?
b) In a highest cost scenario, fixed costs might be $5,000 higher and the printing costs might be $9.00 per book. By how many books would the break-even volume be raised?
c) The marketing department is forecasting sales of 4800 books at the $35 price. What will be the net income from the project at this volume of sales?
d) The marketing department is also forecasting that, if the price is reduced by 10%, unit sales will be 15% higher. Which price should be selected? (Show calculations that support your recommendation.)
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7
Huntsville Office Supplies (HOS) is evaluating the profitability of leasing a photocopier for its customers to use on a self-serve basis at 10′ per copy. The copier may be leased for $300 per month plus 1.5′ per copy on a full-service contract. HOS can purchase paper at $5 per 500-sheet ream. Toner costs $100 per bottle, which in normal use will last for 5,000 pages. HOS is allowing for additional costs (including electricity) of 0.5′ per copy.
a) How many copies per month must be sold in order to break even?
b) What will be the increase in monthly profit for each 1,000 copies sold above the break-even point?
a) How many copies per month must be sold in order to break even?
b) What will be the increase in monthly profit for each 1,000 copies sold above the break-even point?
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8
Beta Inc. has based its budget forecast for next year on the assumption it will operate at 90% of capacity. The budget is
a) At what percentage of capacity would Beta break even?
b) What would be Beta's net income if it operates at 70% of capacity?

b) What would be Beta's net income if it operates at 70% of capacity?
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9
Home Security Specialists Inc. assembles and packages home security systems from standard components. Its basic home security system is sold to customers who prefer to install the system themselves in their own homes. Each system is assembled from components costing $1,400 per system and sells for $2,000. Labour costs for assembly are $100 per system. This product line's share of overhead costs is $10,000 per month.
a) How many basic security systems must be sold each month to break even on this product line?
b) What will be the profit or loss for a month in which 15 basic home security systems are sold?
a) How many basic security systems must be sold each month to break even on this product line?
b) What will be the profit or loss for a month in which 15 basic home security systems are sold?
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10
A small manufacturing operation can produce up to 250 units per week of a product that it sells for $20 per unit. The variable cost per unit is $12, and the fixed cost per week is $1200.
a) How many units must it sell per week to break even?
b) Determine the firm's weekly profit or loss if it sells:
(i) 120 units per week (ii) 250 units per week
c) At what level of sales will the net income be $400 per week?
a) How many units must it sell per week to break even?
b) Determine the firm's weekly profit or loss if it sells:
(i) 120 units per week (ii) 250 units per week
c) At what level of sales will the net income be $400 per week?
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11
Samantha manufactures rings which sell in her boutique for $60 each. For 100 rings, the material cost is $15 each, and estimated fixed costs are $900. How many rings must Larissa sell to beak-even?
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12
The Armour Company had the following revenue and costs in the most recently completed fiscal year:
a) What is the unit sales volume at the break-even point?
b) How many units must be produced and sold for the company to have a net income of $1,000,000 for the year?

b) How many units must be produced and sold for the company to have a net income of $1,000,000 for the year?
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13
Canada Bagel Company manufactures packages of bagels that it sells for $2.50. The variable costs per package are $1.00.
a) To just break even, how many packages of bagels must be sold per month if the fixed costs are $60,000 per month?
b) What must unit sales be in order to have a profit of $7,500 per month?
a) To just break even, how many packages of bagels must be sold per month if the fixed costs are $60,000 per month?
b) What must unit sales be in order to have a profit of $7,500 per month?
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14
Triax Corp. produced 50,000 gizmos at a total cost of $1,600,000 (including $400,000 of fixed costs) in the fiscal year just completed. If fixed costs and unit variable costs do not change next year, how much will it cost to produce 60,000 gizmos?
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15
A company's sales revenue decreased by 15% from one operating period to the next.
Assuming no change in the prices of its inputs and outputs, by what percentage did:
a) Fixed costs change?
b) Unit variable costs change?
c) Total variable costs change?
Assuming no change in the prices of its inputs and outputs, by what percentage did:
a) Fixed costs change?
b) Unit variable costs change?
c) Total variable costs change?
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16
The monthly fixed costs of operating a 30-unit motel are $28,000. The price per unit per night for next year is set at $110. Costs arising from rentals on a per-unit per-day basis are $12 for maid service, $6 for supplies and laundry, and $6 for heat and utilities.
a) Based on a 30-day month, at what average occupancy rate will the motel break even?
b) What will the motel's net income be at an occupancy rate of: (i) 40%? (ii) 30%?
c) Should the owner reduce the price from $110 to $94 per unit per night if it will result in an increase in the average occupancy rate from 40% to 50%? Present calculations that justify your answer.
a) Based on a 30-day month, at what average occupancy rate will the motel break even?
b) What will the motel's net income be at an occupancy rate of: (i) 40%? (ii) 30%?
c) Should the owner reduce the price from $110 to $94 per unit per night if it will result in an increase in the average occupancy rate from 40% to 50%? Present calculations that justify your answer.
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17
Dynacan Ltd. manufactured 10,000 units of product last year and identified the following manufacturing and overhead costs. (V denotes "variable cost" and F denotes "fixed cost.")
If unit variable costs and fixed costs remain unchanged, calculate the total cost to produce 9700 units this year.

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18
Ingrid processes and bottles jam in her home-based business. Her fixed costs are $250 per month and the variable cost per jar is $1.20. She sells the jam to local grocery stores for $3.20 each.
a) How many jars must she sell per year to break even?
b) What will be her profit if she sells 3,000 jars in a year?
a) How many jars must she sell per year to break even?
b) What will be her profit if she sells 3,000 jars in a year?
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19
Below is a list of costs. Classify each of them as variable, fixed, or mixed (a combination of variable and fixed components.)
a) Cost of raw materials used in producing a firm's products.
b) Property taxes.
c) Wages of sales staff paid on a salary plus commission basis.
d) Wages of hourly paid production-line workers.
e) Site licence for software.
f) Leasing costs for a delivery truck ($600 per month plus $0.40 per km.)
g) Packaging materials for products.
h) Insurance.
a) Cost of raw materials used in producing a firm's products.
b) Property taxes.
c) Wages of sales staff paid on a salary plus commission basis.
d) Wages of hourly paid production-line workers.
e) Site licence for software.
f) Leasing costs for a delivery truck ($600 per month plus $0.40 per km.)
g) Packaging materials for products.
h) Insurance.
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20
Valley Peat Ltd. sells peat moss for $10 per bag. Variable costs are $7.50 per bag and annual fixed costs are $100,000.
a) How many bags of peat must be sold to break even?
b) What will be the net income for a year in which 60,000 bags of peat are sold?
c) How many bags must be sold for a net income of $60,000 in a year?
d) What annual sales in terms of bags and in terms of dollars would produce a loss of $10,000?
e) How much do the break-even unit sales and break-even revenue increase per $1,000 increase in annual fixed costs?
a) How many bags of peat must be sold to break even?
b) What will be the net income for a year in which 60,000 bags of peat are sold?
c) How many bags must be sold for a net income of $60,000 in a year?
d) What annual sales in terms of bags and in terms of dollars would produce a loss of $10,000?
e) How much do the break-even unit sales and break-even revenue increase per $1,000 increase in annual fixed costs?
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21
Use the graphical approach to CVP analysis to solve the following problem.
Huntsville Office Supplies (HOS) is evaluating the profitability of leasing a photocopier for its customers to use on a self-serve basis at 10′ per copy. The copier may be leased for $300 per month plus 1.5′ per copy on a full-service contract. HOS can purchase paper at $5 per 500-sheet ream. Toner costs $100 per bottle, which in normal use will last for 5,000 pages. HOS is allowing for additional costs (including electricity) of 0.5′ per copy.
a) How many copies per month must be sold in order to break even?
b) What will be the increase in monthly profit for each 1,000 copies sold above the break-even point?
Huntsville Office Supplies (HOS) is evaluating the profitability of leasing a photocopier for its customers to use on a self-serve basis at 10′ per copy. The copier may be leased for $300 per month plus 1.5′ per copy on a full-service contract. HOS can purchase paper at $5 per 500-sheet ream. Toner costs $100 per bottle, which in normal use will last for 5,000 pages. HOS is allowing for additional costs (including electricity) of 0.5′ per copy.
a) How many copies per month must be sold in order to break even?
b) What will be the increase in monthly profit for each 1,000 copies sold above the break-even point?

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22
In the past year, the Greenwood Corporation had sales of $1,200,000, fixed costs of $400,000, and total variable costs of $600,000.
a) At what sales figure would Greenwood have broken even last year?
b) If sales increase by 15% in the year ahead (but all prices remain the same), how much (in $) will the net income increase?
c) If fixed costs are 10% lower in the year ahead (but sales and variable costs remain the same as last year), how much (in $) will the net income increase?
d) If variable costs are 10% higher in the year ahead (but sales and fixed costs remain the same as last year), how much (in $) will the net income decrease?
a) At what sales figure would Greenwood have broken even last year?
b) If sales increase by 15% in the year ahead (but all prices remain the same), how much (in $) will the net income increase?
c) If fixed costs are 10% lower in the year ahead (but sales and variable costs remain the same as last year), how much (in $) will the net income increase?
d) If variable costs are 10% higher in the year ahead (but sales and fixed costs remain the same as last year), how much (in $) will the net income decrease?
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23
Norwood Industries has annual fixed costs of $1.8 million. Unit variable costs are currently 55% of the unit selling price.
a) What annual revenue is required to break even?
b) What revenue would result in a loss of $100,000 in a year?
c) What annual revenue would produce an operating profit of $300,000?
d) Market research indicates that if prices are increased by 10%, total revenue will remain at the part c amount because the higher prices will be offset by reduced sales volume. Will the operating profit remain at $300,000? Present calculations to justify your answer.
a) What annual revenue is required to break even?
b) What revenue would result in a loss of $100,000 in a year?
c) What annual revenue would produce an operating profit of $300,000?
d) Market research indicates that if prices are increased by 10%, total revenue will remain at the part c amount because the higher prices will be offset by reduced sales volume. Will the operating profit remain at $300,000? Present calculations to justify your answer.
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24
Use the graphical approach to CVP analysis to solve the following problem.
Jordan is developing a business plan for a residential building inspection service he wants to start up. Rent and utilities for an office would cost $1,000 per month. The fixed costs for a vehicle would be $450 per month. He estimates that the variable office costs (word processing and supplies) will be $50 per inspection and variable vehicle costs will be $25 per inspection. Jordan would also spend $200 per month to lease a computer, and $350 per month for advertising.
a) If he charges $275 per inspection, how many inspections per month are required before he can "pay himself?"
b) How many inspections per month are required for Jordan to be able to draw a salary of $4,000 per month?
Jordan is developing a business plan for a residential building inspection service he wants to start up. Rent and utilities for an office would cost $1,000 per month. The fixed costs for a vehicle would be $450 per month. He estimates that the variable office costs (word processing and supplies) will be $50 per inspection and variable vehicle costs will be $25 per inspection. Jordan would also spend $200 per month to lease a computer, and $350 per month for advertising.
a) If he charges $275 per inspection, how many inspections per month are required before he can "pay himself?"
b) How many inspections per month are required for Jordan to be able to draw a salary of $4,000 per month?

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25
A college ski club is planning a weekend package for its members. The members will each be charged $270. For a group of 15 or more, the club can purchase a 2-day downhill pass and 2 nights' accommodation for $220 per person. A 36-passenger capacity bus can be chartered for $1400.
a) How many must sign up for the package for all costs to be covered?
b) If the bus is filled, how much profit will the club make?
c) If the student government agrees to cover any loss up to $400, what is the minimum number of participants required?
a) How many must sign up for the package for all costs to be covered?
b) If the bus is filled, how much profit will the club make?
c) If the student government agrees to cover any loss up to $400, what is the minimum number of participants required?
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26
Genifax reported the following information for September:
a) Determine the unit sales required to break even.
b) What unit sales would generate a net income of $30,000?
c) What unit sales would generate a profit of 20% of the sales dollars?
d) What sales dollars are required to produce a profit of $20,000?
e) If unit variable costs are reduced by 10% with no change in the fixed costs, what will the break-even point become?

b) What unit sales would generate a net income of $30,000?
c) What unit sales would generate a profit of 20% of the sales dollars?
d) What sales dollars are required to produce a profit of $20,000?
e) If unit variable costs are reduced by 10% with no change in the fixed costs, what will the break-even point become?
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27
A farmer is trying to decide whether to rent his neighbour's land to grow additional hay for sale to feedlots at $180 per delivered tonne. The land can be rented at $400 per hectare for the season. Cultivation and planting will cost $600 per hectare; spraying and fertilizer will cost $450 per hectare. It will cost $42 per tonne to cut, condition, and bale the hay, and $24 per tonne to transport it to the feedlots.
a) How many tonnes per hectare must be produced to break even?
b) What is the profit or loss at the $180 per tonne price if the crop yield is:
(i) 15 tonnes per hectare? (ii) 10 tonnes per hectare?
c) What is the new break-even tonnage if the selling price is increased to $190 per tonne?
a) How many tonnes per hectare must be produced to break even?
b) What is the profit or loss at the $180 per tonne price if the crop yield is:
(i) 15 tonnes per hectare? (ii) 10 tonnes per hectare?
c) What is the new break-even tonnage if the selling price is increased to $190 per tonne?
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28
Use the graphical approach to CVP analysis to solve the following problem.
Home Security Systems Inc. assembles and packages home security systems from brand-name components. Its basic home security system is sold to customers who prefer to install the system themselves in their own home. Each system is assembled from components costing $1400 per system and sells for $2,000. Labour costs for assembly are $100 per system. This product line's share of overhead costs is $10,000 per month.
a) How many basic security systems must be sold each month to break even on this product line?
b) What will be the profit or loss for a month in which 15 basic home security systems are sold?
Home Security Systems Inc. assembles and packages home security systems from brand-name components. Its basic home security system is sold to customers who prefer to install the system themselves in their own home. Each system is assembled from components costing $1400 per system and sells for $2,000. Labour costs for assembly are $100 per system. This product line's share of overhead costs is $10,000 per month.
a) How many basic security systems must be sold each month to break even on this product line?
b) What will be the profit or loss for a month in which 15 basic home security systems are sold?

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29
In the year just ended, a small appliance manufacturer sold its product at the wholesale price of $37.50. The unit variable costs were $13.25, and the monthly fixed costs were $5,600.
a) If unit variable costs are expected to rise to $15.00 and fixed costs to $6,000 per month for the next year, at what amount should the product be priced in order to have the same break-even volume as last year?
b) What should be the product's price in order to have the same profit as last year on sales of 300 units per month in both years?
a) If unit variable costs are expected to rise to $15.00 and fixed costs to $6,000 per month for the next year, at what amount should the product be priced in order to have the same break-even volume as last year?
b) What should be the product's price in order to have the same profit as last year on sales of 300 units per month in both years?
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30
Use the graphical approach to CVP analysis to solve the following problem.
A small manufacturing operation can produce up to 250 units per week of a product that it sells for $20 per unit. The variable cost per unit is $12, and the fixed costs per week are $1200.
a) How many units must the firm sell per week to break even?
b) Determine the firm's weekly profit or loss if it sells:
(i) 120 units per week (ii) 250 units per week
c) At what level of sales will the net income be $400 per week?
A small manufacturing operation can produce up to 250 units per week of a product that it sells for $20 per unit. The variable cost per unit is $12, and the fixed costs per week are $1200.
a) How many units must the firm sell per week to break even?
b) Determine the firm's weekly profit or loss if it sells:
(i) 120 units per week (ii) 250 units per week
c) At what level of sales will the net income be $400 per week?

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31
Use the graphical approach to CVP analysis to solve the following problem.
Valley Peat Ltd. sells peat moss for $10 per bag. Variable costs are $7.50 per bag and annual fixed costs are $100,000.
a) How many bags of peat must be sold to break even?
b) What will be the net income for a year in which 60,000 bags of peat are sold?
c) How many bags must be sold for a net income of $60,000 in a year?
d) What volume of sales would produce a loss of $10,000?
Valley Peat Ltd. sells peat moss for $10 per bag. Variable costs are $7.50 per bag and annual fixed costs are $100,000.
a) How many bags of peat must be sold to break even?
b) What will be the net income for a year in which 60,000 bags of peat are sold?
c) How many bags must be sold for a net income of $60,000 in a year?
d) What volume of sales would produce a loss of $10,000?

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32
Cambridge Manufacturing is evaluating the introduction of a new product that would have a unit selling price of $100. The total annual fixed costs are estimated to be $200,000 and the unit variable costs are projected at $60. Forecast sales volume for the first year is 8,000 units.
a) What sales volume (in units) is required to break even?
b) What volume is required to generate a net income of $100,000?
c) What would be the net income at the forecast sales volume?
d) At the forecast sales volume, what will be the change in the net income if fixed costs are: (i) 5% higher than expected? (ii) 10% lower than expected?
e) At the forecast sales volume, what will be the change in the net income if unit variable costs are: (i) 10% higher than expected? (ii) 5% lower than expected?
f) At the forecast sales volume, what will be the change in the net income if the unit selling price is: (i) 5% higher? (ii) 10% lower?
g) At the forecast sales volume, what will be the change in the net income if unit variable costs are 10% higher than expected and fixed costs are simultaneously 10% lower than expected?
a) What sales volume (in units) is required to break even?
b) What volume is required to generate a net income of $100,000?
c) What would be the net income at the forecast sales volume?
d) At the forecast sales volume, what will be the change in the net income if fixed costs are: (i) 5% higher than expected? (ii) 10% lower than expected?
e) At the forecast sales volume, what will be the change in the net income if unit variable costs are: (i) 10% higher than expected? (ii) 5% lower than expected?
f) At the forecast sales volume, what will be the change in the net income if the unit selling price is: (i) 5% higher? (ii) 10% lower?
g) At the forecast sales volume, what will be the change in the net income if unit variable costs are 10% higher than expected and fixed costs are simultaneously 10% lower than expected?
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33
Mickey's Restaurant had a net income last year of $40,000 after fixed costs of $130,000 and total variable costs of $80,000.
a) What was the restaurant's break-even point in sales dollars?
b) If fixed costs in the current year rise to $140,000 and variable costs remain at the same percentage of sales as for last year, what will be the break-even point?
c) What sales in the current year will result in a profit of $50,000?
a) What was the restaurant's break-even point in sales dollars?
b) If fixed costs in the current year rise to $140,000 and variable costs remain at the same percentage of sales as for last year, what will be the break-even point?
c) What sales in the current year will result in a profit of $50,000?
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34
The Kelowna division of Windstream RVs builds the Wanderer model. The division had total revenue of $4,785,000 and a profit of $520,000 on the sale of 165 units in the first half of its financial year. Sales declined to 117 units in the second half of the year, resulting in a profit of only $136,000. Determine the selling price per unit, the total revenue in the second half, the unit variable costs, and the annual fixed costs.
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35
Once a business is operating beyond the break-even point, why doesn't each additional dollar of revenue add a dollar to net income?
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36
Use the graphical approach to CVP analysis to solve the following problem.
Canada Bagel Company manufactures packages of bagels that it sells for $2.50. The variable costs per package are $1.00.
a) To just break even, how many packages of bagels must be sold per month if the fixed costs are $60,000 per month?
b) What must unit sales be in order to have a profit of $7,500 per month?
Canada Bagel Company manufactures packages of bagels that it sells for $2.50. The variable costs per package are $1.00.
a) To just break even, how many packages of bagels must be sold per month if the fixed costs are $60,000 per month?
b) What must unit sales be in order to have a profit of $7,500 per month?

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37
Bentley Plastics Ltd. has annual fixed costs of $450,000 and variable costs of $15 per unit. The selling price per unit is $25. The production line can manufacture up to 60,000 units per year.
a) What annual revenue is required to break even?
b) What annual unit sales are required to break even?
c) What will be the annual net income at annual sales of:
(i) 50,000 units? (ii) $1,000,000? iii) 90% of capacity
d) What minimum annual unit sales are required to limit the annual loss to $20,000?
e) If the unit selling price and fixed costs remain the same, what are the changes in break-even unit sales and break-even revenue for a $1 increase in variable costs?
a) What annual revenue is required to break even?
b) What annual unit sales are required to break even?
c) What will be the annual net income at annual sales of:
(i) 50,000 units? (ii) $1,000,000? iii) 90% of capacity
d) What minimum annual unit sales are required to limit the annual loss to $20,000?
e) If the unit selling price and fixed costs remain the same, what are the changes in break-even unit sales and break-even revenue for a $1 increase in variable costs?
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38
Memex Corp. manufactures memory expansion boards for laptop computers. The average selling price of its finished product is $180 per unit. The average variable cost per unit is $110. Memex incurs fixed costs of $1,260,000 per year.
a) What is the break-even point in unit sales per year?
b) What sales revenue must Memex achieve in order to break even?
c) What will be the company's profit or loss at the following levels of sales for a year: 20,000 units? 17,500 units?
a) What is the break-even point in unit sales per year?
b) What sales revenue must Memex achieve in order to break even?
c) What will be the company's profit or loss at the following levels of sales for a year: 20,000 units? 17,500 units?
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39
This problem is designed to illustrate how the relative proportions of fixed and variable costs affect a firm's net income when the sales volume changes.
Two hypothetical firms, Hi-Tech and Lo-Tech, manufacture and sell the same product at the same price of $50. Firm A is highly mechanized with monthly fixed costs of $4,000 and unit variable costs of $10. Firm B is labour-intensive and can readily lay off or take on more workers as production requirements warrant. B's monthly fixed costs are $1,000, and its unit variable costs are $40.
a) Calculate the break-even volume for both firms.
b) At each firm's break-even point, calculate the proportion of the firm's total costs that are fixed and the proportion that are variable.
c) For a 10% increase in sales above the break-even point, calculate the dollar increase in each firm's net income. Explain the differing results.
d) For a 10% decrease in sales below the break-even point, calculate the dollar decrease in each firm's net income. Explain the differing results.
e) What is each firm's net income at sales of 150 units per month and each firm's loss at sales of 50 units per month?
Two hypothetical firms, Hi-Tech and Lo-Tech, manufacture and sell the same product at the same price of $50. Firm A is highly mechanized with monthly fixed costs of $4,000 and unit variable costs of $10. Firm B is labour-intensive and can readily lay off or take on more workers as production requirements warrant. B's monthly fixed costs are $1,000, and its unit variable costs are $40.
a) Calculate the break-even volume for both firms.
b) At each firm's break-even point, calculate the proportion of the firm's total costs that are fixed and the proportion that are variable.
c) For a 10% increase in sales above the break-even point, calculate the dollar increase in each firm's net income. Explain the differing results.
d) For a 10% decrease in sales below the break-even point, calculate the dollar decrease in each firm's net income. Explain the differing results.
e) What is each firm's net income at sales of 150 units per month and each firm's loss at sales of 50 units per month?
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40
The Woodstock plant of Goodstone Tires manufactures a single line of automobile tires. In its first fiscal quarter, the plant had total revenue of $4,500,000 and net income of $900,000 from the production and sale of 60,000 tires. In the subsequent quarter, the net income was $700,000 from the production and sale of 50,000 tires. Calculate the unit selling price, the total revenue in the second quarter, the variable costs per tire, and the total fixed costs per calendar quarter.
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41
Larissa manufactures rings which sell in her boutique for $60 each. For 100 rings, the material cost is $15 each, and estimated fixed costs are $900. How many rings must Larissa sell to break even? Use the graphical approach to CVP analysis to solve. 

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42
Sam manufactures a product that is selling so well, he has decided to expand his operation to 50,000 units per month. The unit cost is $7, estimated fixed costs are $1.8 mil per year and variable costs are $5 per unit. The product currently sells for $20.
a) What is the break even-point as a percent of capacity?
b) What would the net income be at 75% capacity?
c) What would unit sales have to be to attain a net income of $100,000?
d) If sales dropped to 50% of capacity, what would the resulting net income be?
a) What is the break even-point as a percent of capacity?
b) What would the net income be at 75% capacity?
c) What would unit sales have to be to attain a net income of $100,000?
d) If sales dropped to 50% of capacity, what would the resulting net income be?
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43
A company makes gadgets selling for $15 each. For 20,000 gadgets, the cost is $3 each, and the estimated fixed costs are $150,000. What is the break-even volume and revenue? Use the graphical approach to CVP analysis to solve. 

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44
M Studios estimates that it can sell 1,500 camera lenses at $150 each. Total fixed costs are $120,000, and variable costs are $30 per lens. What unit sales are required to break even? What is the profit generated if all units are sold?
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45
Reflex Manufacturing Corp. manufactures composters at a unit variable cost of $43. It sells them for $70 each. It can produce a maximum of 3,200 composters per month. Annual fixed costs total $648,000.
a) What is the break-even volume?
b) What is the monthly net income at a volume of 2500 composters per month?
c) What is the monthly net income if Reflex operates at 50% of capacity during a recession?
d) At what percent utilization would the annual net income be $226,800?
e) If fixed and variable costs remain the same, how much do the monthly break-even unit sales change for a $1 increase in the selling price?
a) What is the break-even volume?
b) What is the monthly net income at a volume of 2500 composters per month?
c) What is the monthly net income if Reflex operates at 50% of capacity during a recession?
d) At what percent utilization would the annual net income be $226,800?
e) If fixed and variable costs remain the same, how much do the monthly break-even unit sales change for a $1 increase in the selling price?
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46
A sporting goods manufacturer lost $400,000 on sales of $3 million in a year during the last recession. The production lines operated at only 60% of capacity during the year. Variable costs represent one-third of the sales dollars.
a) At what percent of capacity must the firm operate in order to break even?
b) What would its net income be at 80% of capacity?
c) What dollar sales would generate a net income of $700,000?
d) How much does each additional dollar of sales increase the net income?
e) How much does a $1 increase in fixed costs raise the break-even sales?
a) At what percent of capacity must the firm operate in order to break even?
b) What would its net income be at 80% of capacity?
c) What dollar sales would generate a net income of $700,000?
d) How much does each additional dollar of sales increase the net income?
e) How much does a $1 increase in fixed costs raise the break-even sales?
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47
A small business calculates that its monthly fixed costs are $3,200. If the business calculates it contribution rate to be 0.42, what level of monthly sales must be generated in order to break even?
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48
Alpha Corp. expects to operate at 80% of capacity next year. Its forecast operating budget is:
a) What is Alpha's break-even revenue?
b) What would be Alpha's net income if it operates at full capacity.

b) What would be Alpha's net income if it operates at full capacity.
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49
Durable Toys Inc. wants to calculate from recent production data the monthly fixed costs and unit variable costs on its Mountain Trike product line. In the most recent month, it produced 530 Trikes at a total cost of $24,190. In the previous month, it produced 365 Trikes at a total cost of $18,745. What are the fixed costs per month and the unit variable costs? Hint: Recall that Total costs = Fixed costs + (Unit variable costs) × (Number of units produced)
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50
What effect will each of the following have on a product's unit contribution margin? In each case, assume that all other variables remain unchanged.
a. The business raises the selling price of the product.
b. The prices of some raw materials used in manufacturing decrease.
c. The local regional government increases the business's property tax.
d. The company's president is given a raise.
e. The production workers receive a raise in their hourly rate.
a. The business raises the selling price of the product.
b. The prices of some raw materials used in manufacturing decrease.
c. The local regional government increases the business's property tax.
d. The company's president is given a raise.
e. The production workers receive a raise in their hourly rate.
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51
Morgan Company produces two products, G and H, with the following characteristics:
Total fixed costs for the year are expected to be $700,000.
a) What will be the net income if the forecast sales are realized?
b) Determine the break-even volumes of the two products. Assume that the product mix (that is, the ratio of the unit sales for the two products) remains the same at the break-even point.
c) If it turns out that Morgan sells twice as many units of H as of G, what will be the break-even volumes of the two products?

a) What will be the net income if the forecast sales are realized?
b) Determine the break-even volumes of the two products. Assume that the product mix (that is, the ratio of the unit sales for the two products) remains the same at the break-even point.
c) If it turns out that Morgan sells twice as many units of H as of G, what will be the break-even volumes of the two products?
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52
A company expects to sell 30,000 ball hats at $35 each. The estimated variable cost of each hat is $12.50, and the fixed costs are estimated to be $450,000. Calculate the contribution margin per unit and the break-even point in units and revenue.
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53
Once a business is operating beyond the break-even point, why doesn't each additional dollar of revenue add a dollar to net income?
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54
What effect will each of the following have on a firm's break-even point? In each case, assume that all other variables remain unchanged.
a. Fixed costs decrease.
b. Variable costs increase.
c. Sales volume increases.
d. Unit selling price decreases.
e. The contribution ratio increases.
a. Fixed costs decrease.
b. Variable costs increase.
c. Sales volume increases.
d. Unit selling price decreases.
e. The contribution ratio increases.
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55
The social committee of a college's student government is planning the annual graduation dinner and dance. The preferred band can be signed for $500 plus 10% of ticket revenues. A hall can be rented for $2,200. Fire regulations limit the hall to 400 guests plus the band and caterers. A food caterer has quoted a price of $12 per person for the dinner.
The committee thinks that the event will be a sellout if ticket prices are set at $23 per person. Some on the committee are in favour of less crowding at the dance and argue for a ticket price of $28. They estimate that 300 will attend at the higher price.
a) Calculate the number of tickets that need to be sold at each price to break even.
b) What will the profit be at the predicted sales at each ticket price?
The committee thinks that the event will be a sellout if ticket prices are set at $23 per person. Some on the committee are in favour of less crowding at the dance and argue for a ticket price of $28. They estimate that 300 will attend at the higher price.
a) Calculate the number of tickets that need to be sold at each price to break even.
b) What will the profit be at the predicted sales at each ticket price?
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56
A company makes gadgets selling for $15 each. For 20,000 gadgets, the cost is $3 each, and the estimated fixed costs are $150,000. What is the break-even volume and revenue?
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57
Enrique is studying the feasibility of producing a new product. His existing facilities could be expanded to manufacture 2,000 new units per month. The unit cost is $75. Estimated fixed costs are $3.36 mil per year and variable costs are $25 per unit. Competitors sell a similar product for $350 each.
a) What is the break-even point as a percent of capacity?
b) What would the net income be at 80% capacity?
c) What would unit sales have to be to attain a net income of $100,000?
d) If sales dropped to 60% of capacity, what would the resulting net income be?
a) What is the break-even point as a percent of capacity?
b) What would the net income be at 80% capacity?
c) What would unit sales have to be to attain a net income of $100,000?
d) If sales dropped to 60% of capacity, what would the resulting net income be?
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58
Morgan is planning to run a small lawn care business this summer. He can rent a ride-on lawn tractor for $680 per month. He estimates it will cost $5 in gasoline to cut the average lawn, and he intends to charge a flat rate of $25 per law.
a) What is the contribution rate that Morgan's business is expected to generate?
b) What is Morgan's break-even level of revenue per month?
c) How many lawns per month must Morgan cut in order to break even?
a) What is the contribution rate that Morgan's business is expected to generate?
b) What is Morgan's break-even level of revenue per month?
c) How many lawns per month must Morgan cut in order to break even?
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59
ChildCare Industries manufactures infant car seats that it sells to retailers for $155 each. The costs to manufacture each additional seat are $65, and the monthly fixed costs are $18,000.
a) How many seats must be sold per year to break even?
b) What will ChildCare's loss be if it sells 2,000 seats in a year?
a) How many seats must be sold per year to break even?
b) What will ChildCare's loss be if it sells 2,000 seats in a year?
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60
During an economic slowdown, an automobile plant lost $6,000,000 on the production and sale of 9,000 cars. Total revenue for the year was $135,000,000. If the break-even volume for the plant is 10,000 cars per year, calculate:
a) The plant's total fixed costs for a year.
b) The net income if unit sales for the year had been equal to the 5-year average of 12,000.
a) The plant's total fixed costs for a year.
b) The net income if unit sales for the year had been equal to the 5-year average of 12,000.
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61
A manufacturing company is considering producing a new product. The variable cost of the new product is $60 per unit, and the total fixed costs are $75,000 for a month. The company could produce 1,500 units per month, and sell the product for $125 each. What is the break-even point as a percent of capacity?
A) 81.2%
B) 76.9%
C) 75%
D) 72.4%
E) 63%
A) 81.2%
B) 76.9%
C) 75%
D) 72.4%
E) 63%
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62
A company expects to sell 30,000 hats at $35 each. The estimated variable cost of each hat is $12.50, and the fixed costs are estimated to be $450,000. Calculate the break-even point in units and revenue. Use the graphical approach to CVP analysis to solve. 

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63
A small business calculates that its monthly fixed costs are $4,200. If the business calculates it contribution rate to be 0.32, what level of monthly sales must be generated in order to break even?
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64
Kuldip's factory manufactures toys that sell for $29.95 each. The variable cost per toy is $11, and the total fixed costs for the month are $45,000. Calculate the unit contribution margin.
A) $18.95
B) $17.95
C) $19.00
D) $17.50
E) $11.00
A) $18.95
B) $17.95
C) $19.00
D) $17.50
E) $11.00
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65
A manufacturing company is considering producing a new product. The variable cost of the new product is $60 per unit, and the total fixed costs are $75,000 for a month. The company could produce 1500 units per month, and sell the product for $125 each. What sales would result in a net income of $16,000?
A) 1200 units
B) 1250 units
C) 1300 units
D) 1375 units
E) 1400 units
A) 1200 units
B) 1250 units
C) 1300 units
D) 1375 units
E) 1400 units
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66
Saheed is planning to run a small web hosting business this year for fellow college students. He can rent a web server for $100 per month. He estimates it will cost
$10/month per web page hosted, and he intends to charge a flat rate of $20 to every customer for initial setup fees.
a) What is the contribution rate that Saheed's business is expected to generate?
b) What is Saheed's break-even level of revenue per month?
c) How many web pages per month must Saheed host in order to break even?
$10/month per web page hosted, and he intends to charge a flat rate of $20 to every customer for initial setup fees.
a) What is the contribution rate that Saheed's business is expected to generate?
b) What is Saheed's break-even level of revenue per month?
c) How many web pages per month must Saheed host in order to break even?
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67
Kuldip's factory manufactures toys that sell for $29.95 each. The variable cost per toy is $11, and the total fixed costs for the month are $45,000. What would unit sales have to be to attain a net income over $12,000?
A) 3,050 units
B) 2,900 units
C) 2,950 units
D) 2,996 units
E) 3,008 units
A) 3,050 units
B) 2,900 units
C) 2,950 units
D) 2,996 units
E) 3,008 units
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68
Kuldip's factory manufactures toys that sell for $29.95 each. The variable cost per toy is $11, and the total fixed costs for the month are $45,000. What is the break-even point in revenue per month?
A) $70,000
B) $75,480
C) $71,121
D) $73,215
E) $71,500
A) $70,000
B) $75,480
C) $71,121
D) $73,215
E) $71,500
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69
M Studios retails their own brand of camera that they manufacture in their plant for $500. The plant capacity is 1,000 units per month and variable costs are $225 per camera. Total fixed costs for the year are $2.16 million. Calculate the break-even point as a percentage of capacity.
A) 34.5%
B) 65.5%
C) 50%
D) 60%
E) 62.5%
A) 34.5%
B) 65.5%
C) 50%
D) 60%
E) 62.5%
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70
Sam manufactures a product that is selling so well, he has decided to expand his operation to 50,000 units per month. The unit cost is $7, estimated fixed costs are $1.8 mil per year and variable costs are $5 per unit. The product currently sells for $20. Use the graphical approach to CVP analysis to solve the following:
a) What is the break-even point as a percent of capacity?
b) What would the net income be at 75% capacity?
c) What would unit sales have to be to attain a net income of $100,000?
d) If sales dropped to 50% of capacity, what would the resulting net income be?
a) What is the break-even point as a percent of capacity?
b) What would the net income be at 75% capacity?
c) What would unit sales have to be to attain a net income of $100,000?
d) If sales dropped to 50% of capacity, what would the resulting net income be?

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71
Enrique is studying the feasibility of producing a new product. His existing facilities could be expanded to manufacture 2,000 new units per month. The unit cost is $75. Estimated fixed costs are $3.36 mil per year and variable costs are $25 per unit. Competitors sell a similar product for $350 each. Use the graphical approach to CVP analysis to solve the following:
a) What would the net income be at 80% capacity?
b) What would unit sales have to be to attain a net income of $100,000?
c) If sales dropped to 60% of capacity, what would the resulting net income be?
a) What would the net income be at 80% capacity?
b) What would unit sales have to be to attain a net income of $100,000?
c) If sales dropped to 60% of capacity, what would the resulting net income be?

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72
A manufacturing company is considering producing a new product. The variable cost of the new product is $60 per unit, and the total fixed costs are $75,000 for a month. The company could produce 1,500 units per month, and sell the product for $125 each. What would be the net income at 75% capacity?
A) loss $3,500
B) loss $250
C) loss $1,800
D) loss $1,875
E) loss $2,025
A) loss $3,500
B) loss $250
C) loss $1,800
D) loss $1,875
E) loss $2,025
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73
Kuldip's factory manufactures toys that sell for $29.95 each. The variable cost per toy is $11, and the total fixed costs for the month are $45,000. What would unit sales have to be to attain a net income over $8,000?
A) 2,700 units
B) 2,650 units
C) 2,756 units
D) 2,797 units
E) 2,765 units
A) 2,700 units
B) 2,650 units
C) 2,756 units
D) 2,797 units
E) 2,765 units
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74
Kuldip's factory manufactures toys that sell for $29.95 each. The variable cost per toy is $11, and the total fixed costs for the month are $45,000. What is the break-even point in units per month?
A) 2,100 units
B) 2,375 units
C) 2,300 units
D) 2,450 units
E) 2,575 units
A) 2,100 units
B) 2,375 units
C) 2,300 units
D) 2,450 units
E) 2,575 units
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75
M Studios retails their own brand of camera that they manufacture in their plant for $500. The plant capacity is 1,000 units per month and variable costs are $225 per camera. Total fixed costs for the year are $2.16 million. How many cameras must be sold per month to have a net income of $40,000?
A) 850
B) 900
C) 800
D) 750
E) 825
A) 850
B) 900
C) 800
D) 750
E) 825
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76
Moens Corp. expects to operate at 90% of capacity next year. Its forecast operating budget is:
a) What is Moen's break-even revenue?
b) What would be Moen Corp.'s net income if it operates at full capacity.

b) What would be Moen Corp.'s net income if it operates at full capacity.
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77
Use the graphical approach to CVP analysis to solve the following problem.
Reflex Manufacturing Corp. manufactures borgels at a unit variable cost of $43. It sells them for $70 each. It can produce a maximum of 3,200 borgels per month. Annual fixed costs total $648,000.
a) What is the break-even volume per month?
b) What is the monthly net income at a volume of 2500 borgels per month?
c) What is the monthly net income if Reflex operates at 50% of capacity during a recession?
Reflex Manufacturing Corp. manufactures borgels at a unit variable cost of $43. It sells them for $70 each. It can produce a maximum of 3,200 borgels per month. Annual fixed costs total $648,000.
a) What is the break-even volume per month?
b) What is the monthly net income at a volume of 2500 borgels per month?
c) What is the monthly net income if Reflex operates at 50% of capacity during a recession?

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78
A manufacturing company is considering producing a new product. The variable cost of the new product is $60 per unit, and the total fixed costs are $75,000 for a month. The company could produce 1,500 units per month, and sell the product for $125 each. Calculate the unit contribution margin.
A) 65
B) 50
C) 60
D) 125
E) 80
A) 65
B) 50
C) 60
D) 125
E) 80
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79
A manufacturing company is considering producing a new product. The variable cost of the new product is $60 per unit, and the total fixed costs are $75,000 for a month. The company could produce 1,500 units per month, and sell the product for $125 each. What would be the net income at 90% capacity?
A) $10,000
B) $15,000
C) $12,750
D) $12,225
E) $16,000
A) $10,000
B) $15,000
C) $12,750
D) $12,225
E) $16,000
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80
M Studios estimates that it can sell 1,500 camera lenses at $150 each. Total fixed costs are $120,000, and variable costs are $30 per lens. What unit sales are required to break even? What is the revenue generated if all units are sold? Use the graphical approach to CVP analysis to solve. 

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