Exam 6: Break-Even and Cost-Volume-Profit Analysis

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A company has variable costs that are 3/8 the value of their sales revenues. Total net income for the most recent period was a profit of $123 400 and sales were $400 000. The company has started a new marketing campaign that they hope will increase sales, but it will require additional advertising of $11 200. How many sales dollars does the company have to generate in order to remain at the same level of profitability as before the new ad campaign?

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The Excellent DVD Company sells DVDs for $62 each. Manufacturing cost is $22.70 per DVD; marketing costs are $7.75 per DVD; and royalty payments are 15% of the selling price. The fixed cost of preparing the DVDs is $227 300. Capacity is 20 000 DVDs. a) Draw a detailed break-even chart. b) Compute the break-even point (i) in units; (ii) in dollars; (iii) as a percent of capacity. c) Determine the break-even point in units if fixed costs are increased by $3300 while manufacturing cost is reduced $1.65 per DVD. d) Determine the break-even point in units if the selling price is increased by 10% while fixed costs are increased by $2900.

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a) Let the number of DVDs be x.
Total Revenue: TR = 62x
VC = 22.70 + 7.75 + 0.15(62) = $39.75
Total cost: TC = 227 300 + 39.75x a) Let the number of DVDs be x. Total Revenue: TR = 62x VC = 22.70 + 7.75 + 0.15(62) = $39.75 Total cost: TC = 227 300 + 39.75x     b) VC = $39.75 i) TR = TC 62x = 39.75x+227 300 x=   =10215.73 = 10216 units (rounded up) ii) BE point in sales dollars $62(10216) = $633 392. iii) BE point as a % of capacity   = 51.08% c) FC=227 300+3 300=$230 600, VC=(22.70-1.65)+7.75+0.15(62)=$38.10 62x=38.10x+230 600 x =   = 9 648.53=9 649 units. d) VC = 22.70 + 7.75 + .15(62 ∗ 1.1)=$40.68 P=1.1($62)=$68.20 68.20x=40.68x+230200 x =   =8 259.4=8 365 units a) Let the number of DVDs be x. Total Revenue: TR = 62x VC = 22.70 + 7.75 + 0.15(62) = $39.75 Total cost: TC = 227 300 + 39.75x     b) VC = $39.75 i) TR = TC 62x = 39.75x+227 300 x=   =10215.73 = 10216 units (rounded up) ii) BE point in sales dollars $62(10216) = $633 392. iii) BE point as a % of capacity   = 51.08% c) FC=227 300+3 300=$230 600, VC=(22.70-1.65)+7.75+0.15(62)=$38.10 62x=38.10x+230 600 x =   = 9 648.53=9 649 units. d) VC = 22.70 + 7.75 + .15(62 ∗ 1.1)=$40.68 P=1.1($62)=$68.20 68.20x=40.68x+230200 x =   =8 259.4=8 365 units b) VC = $39.75
i) TR = TC
62x = 39.75x+227 300
x= a) Let the number of DVDs be x. Total Revenue: TR = 62x VC = 22.70 + 7.75 + 0.15(62) = $39.75 Total cost: TC = 227 300 + 39.75x     b) VC = $39.75 i) TR = TC 62x = 39.75x+227 300 x=   =10215.73 = 10216 units (rounded up) ii) BE point in sales dollars $62(10216) = $633 392. iii) BE point as a % of capacity   = 51.08% c) FC=227 300+3 300=$230 600, VC=(22.70-1.65)+7.75+0.15(62)=$38.10 62x=38.10x+230 600 x =   = 9 648.53=9 649 units. d) VC = 22.70 + 7.75 + .15(62 ∗ 1.1)=$40.68 P=1.1($62)=$68.20 68.20x=40.68x+230200 x =   =8 259.4=8 365 units =10215.73 = 10216 units (rounded up)
ii) BE point in sales dollars $62(10216) = $633 392.
iii) BE point as a % of capacity a) Let the number of DVDs be x. Total Revenue: TR = 62x VC = 22.70 + 7.75 + 0.15(62) = $39.75 Total cost: TC = 227 300 + 39.75x     b) VC = $39.75 i) TR = TC 62x = 39.75x+227 300 x=   =10215.73 = 10216 units (rounded up) ii) BE point in sales dollars $62(10216) = $633 392. iii) BE point as a % of capacity   = 51.08% c) FC=227 300+3 300=$230 600, VC=(22.70-1.65)+7.75+0.15(62)=$38.10 62x=38.10x+230 600 x =   = 9 648.53=9 649 units. d) VC = 22.70 + 7.75 + .15(62 ∗ 1.1)=$40.68 P=1.1($62)=$68.20 68.20x=40.68x+230200 x =   =8 259.4=8 365 units = 51.08%
c) FC=227 300+3 300=$230 600, VC=(22.70-1.65)+7.75+0.15(62)=$38.10
62x=38.10x+230 600
x = a) Let the number of DVDs be x. Total Revenue: TR = 62x VC = 22.70 + 7.75 + 0.15(62) = $39.75 Total cost: TC = 227 300 + 39.75x     b) VC = $39.75 i) TR = TC 62x = 39.75x+227 300 x=   =10215.73 = 10216 units (rounded up) ii) BE point in sales dollars $62(10216) = $633 392. iii) BE point as a % of capacity   = 51.08% c) FC=227 300+3 300=$230 600, VC=(22.70-1.65)+7.75+0.15(62)=$38.10 62x=38.10x+230 600 x =   = 9 648.53=9 649 units. d) VC = 22.70 + 7.75 + .15(62 ∗ 1.1)=$40.68 P=1.1($62)=$68.20 68.20x=40.68x+230200 x =   =8 259.4=8 365 units = 9 648.53=9 649 units.
d) VC = 22.70 + 7.75 + .15(62 ∗ 1.1)=$40.68
P=1.1($62)=$68.20
68.20x=40.68x+230200
x = a) Let the number of DVDs be x. Total Revenue: TR = 62x VC = 22.70 + 7.75 + 0.15(62) = $39.75 Total cost: TC = 227 300 + 39.75x     b) VC = $39.75 i) TR = TC 62x = 39.75x+227 300 x=   =10215.73 = 10216 units (rounded up) ii) BE point in sales dollars $62(10216) = $633 392. iii) BE point as a % of capacity   = 51.08% c) FC=227 300+3 300=$230 600, VC=(22.70-1.65)+7.75+0.15(62)=$38.10 62x=38.10x+230 600 x =   = 9 648.53=9 649 units. d) VC = 22.70 + 7.75 + .15(62 ∗ 1.1)=$40.68 P=1.1($62)=$68.20 68.20x=40.68x+230200 x =   =8 259.4=8 365 units =8 259.4=8 365 units

A company has variable costs that are 4/7 the value of their sales revenues. Total net income for the most recent period was a profit of $53 770 and sales were $420 000. The company has started a new marketing campaign that they hope will increase sales, but it will require additional advertising of $6 400. How many sales dollars does the company have to generate in order to remain at the same level of profitability as before the new ad campaign?

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Olfert Greenhouses has compiled the following estimates for operations. Sales $150 000 Fixed cost $45 200 Variable costs 67 500 112 700 Net income $37 300 Capacity is a sales volume of $175 000. Perform a break-even analysis showing a) an algebraic statement of (i) the revenue function; (ii) the cost function; b) a detailed break-even chart.

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A local health care facility has fixed costs per month of $187 400. They also have patient costs of $4.15 per day per patient for linen and cleaning, medication costs are $23.32 per patient per day and lab tests cost $75.61 per patient per day. The government is considering allowing the health care facility to charge each patient and amount to recover his or her costs and to make a "profit" of $15 000 per month. The health care facility averages 690 patients per month. The VP- Finance for the facility wants you to calculate the daily rate charge per patient. Your answer is:

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A local toolmaker makes the best hammers on the market. The head of the hammer costs $12.11 and the handle costs $4.37. It takes 1.4 minutes to assemble the hammer and the hourly cost is $90.00 for assembly time. The company has fixed operating costs of $22 310 per month. They sell the hammers for three times their total variable cost. The company wants to make a monthly profit of $5000. How many hammers must they sell?

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A company that makes cell phones has the following cost structure. The have fixed costs of $145 000 per period and manufacturing costs of $15.16 per cell phone. Advertising is expected to be $25 000 per period and a special promotional contest will involve providing a free case for a cost of $5.30 per cell phone. Each cell phone sells for $49.95. What is the break-even point in the number of phones?

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A company has variable costs that are 1/8 the value of their sales revenues. Total net income for the most recent period was a profit of $50 400 and sales were $500 000. The company has started a new marketing campaign that they hope will increase sales, but it will require additional advertising of $15 000. How many sales dollars does the company have to generate in order to remain at the same level of profitability as before the new ad campaign?

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A local college hospitality restaurant has the best meals in town. The average variable cost per meal is $10.25 and the desserts are $1.25. The restaurant has fixed operating costs of $110 500 per month. They sell the meals and desserts for three times their average variable cost per meal. The college wants to make a monthly profit of $50 000. How many meals must they sell (Round up to nearest whole meal)?

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A company that makes customized pens has calculated their revenue and costs as follows for the most recent fiscal period: Sales $100 000 Costs: Fixed Costs $??????? Variable Costs 15 000 Total Costs ??????? Net Income (Loss) $(20 000) What are the company's fixed costs per fiscal period?

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A company that makes environmental measuring devices has calculated their revenue and costs as follows for the most recent fiscal period: Sales $750 000 Costs: Fixed Costs $200 000 Variable Costs 250 000 Total Costs 450 000 Net Income $300 000 What is the break-even point in sales dollars?

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Last year a printing company had total sales of $37 500. The total of its variable costs was $15 000, and fixed costs were $18 000. Capacity is at sales maximum of $50 000. a) Calculate the break-even point in (i) dollars of sales (ii) as a percent of capacity b) Draw a detailed break-even chart

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A pen manufacturer makes luxury pens. The pen case costs $7.26 each, the ink holder costs $1.26 each, the spring costs $.07 each and the velvet pen case costs $0.91 each. The plant has general and administrative costs of $55 000 and fixed selling expenses of $37 500. The pens sell of $39.95 each. Plant capacity is 4 000 pens per period. At what percentage of capacity is the break-even point?

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A company that makes basketballs has calculated their revenue and costs as follows for the most recent fiscal period: Sales $623 000 Costs: Fixed Costs $??????? Variable Costs 404 880 Total Costs ??????? Net Income (Loss) $(26 880) What are the company's fixed costs per fiscal period?

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A company that makes optical computer input devices has calculated their revenue and costs as follows for the most recent fiscal period: Sales $522 000 Costs: Fixed Costs $145 000 Variable Costs 208 800 Total Costs 353 800 Net Income $168 200 What is the break-even point in sales dollars?

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Priest and Sons, a local manufacturer of a product that sells for $13.50 per unit. Variable cost per unit is $7.85 and fixed cost per period is $1 220. Capacity per period is 1100 units. Perform a break-even analysis showing a) an algebraic statement of (i) the revenue function; (ii) the cost function; (iii) calculate the break-even point in units. b) a detailed break-even chart.

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A manufacturer plans to introduce a new type of shirt based on the following information. The selling price is $57.00; variable cost per unit is $18.00; fixed costs are $7800.00; and capacity per period is 500 units. a) Calculate the break-even point (i) in units (ii) in dollars (iii) as a percent of capacity b) Draw a detailed break-even chart. c) Calculate the break-even point (in units) if fixed costs are reduced to $7020.00 d) Calculate the break-even point (in dollars) if the selling price is increased to $78.00

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A local restaurant has the best meals in town. The average variable cost per meal is $22.74 and the desserts are $5.24. Only half of the patrons order desserts. The restaurant has fixed operating costs of $112 714 per month. They sell the meals and desserts for four times their average variable cost per meal. The company wants to make a monthly profit of $75 000. How many meals must they sell?

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The gas division of Power-U-Up plans to introduce a new gas delivery system based on the following accounting information. Fixed costs per period are $4 236; variable cost per unit is $168; selling price per unit is $211; and capacity per period is 450 units. a) Draw a detailed break-even chart b) Compute the break-even point (i) in units; (ii) as a percent of capacity; (iii) in dollars. c) Determine the break-even point as a percent of capacity (i) if fixed costs are reduced to $3 788; (ii) if fixed costs are increases to $5 577 and variable costs are reduced to 75% of the selling price; (iii) if the selling price is reduced to $191.

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Trevor, the new owner of the vehicle accessory shop is considering buying sets of winter tires for $299 per set and selling them at $520 each. Fixed costs related to this operation amount to $3 250 per month. It is expected that 18 sets per month could be sold. How much profit will Trevor make each month?

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