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Managerial Economics Analysis Problems Cases
Exam 11: Topics in Pricing and Profit Analysis
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Question 21
Multiple Choice
Use the following information to answer Questions 7, 8 and 9 A company that produces diet supplements that uses a highly automated packaging process has the following production and revenue alternatives for three products A, B, and C) that are feasible to produce with existing plant and equipment. Total revenue is in thousands of dollars per month. Total cost for the first shift is $200,000 per month - of which $120,000 is labor, $60,000 is other variable costs, and $20,000 is fixed cost. As the number of shifts is increased, fixed cost remains at $20,000 per month while variable costs other than labor remain the same per shift. For the second shift, labor must be paid 1.2 times the amount paid on the first shift. For the third shift, labor must be paid 1.4 times what it receives in the first shift.
-Profit will be maximized at which of the following product combinations and number of shifts?
Question 22
Essay
A firm produces two products, r and s, and the production process is such that one unit of r is always obtained with one unit of s. The demand curves for r and s are estimated to be: Q
r
= 75 - P
r
Q
s
= 100 - .5P
s
and the marginal cost of production is MC = 75 + 4Q
j
, where Q
j
consists of one unit of each product. a. How much of product r and product s should the firm sell to maximize profits? b. At what price should these products sell?
Question 23
Multiple Choice
A firm produces two products, x and y, and the production process is such that one unit of x is always obtained with one unit of y. If the demand for x and y are estimated to be: Q
x
= 100 - P
x
so that MR
x
= 100 - 2Q
x
) Q
y
= 220 - P
y
so that MR
y
= 220 - 2Q
y
) And the marginal cost of production is MC = 50 + .5Q
j
, where Q
j
consists of one unit of each product, how much of product x should the firm sell in order to maximize profit?
Question 24
Multiple Choice
A firm produces two products, "r" and "s", and the production process is such that one unit of "r" is always obtained with one unit of "s". If the demand curves for "r" and "s" are estimated to be: Q
r
= 75 - P
r
so that MR
r
= 75 - 2Q
r
) Q
s
= 100 - .5P
s
so that MR
s
= 200 - 4Q
s
) And the marginal cost of production is MC = 75 + 4Q
j
, where Q
j
consists of one unit of each product, how much of product "r" and product "s" should the firm sell to maximize profit?
Question 25
Essay
A firm produces two products, "f" and "g", and the production process is such that one unit of f is always obtained with one unit of "g". If the demand curves for "f" and "g" are estimated to be: Q
f
= 300 - P
f
so that MR
f
= 300 - 2Q
f
) Q
g
= 400 - 2P
g
so that MR
g
= 200 - Q
g
) and the marginal cost of production is MC = 50 + 3Q
j
, where Q
j
consists of one unit of each product, how much of product "f" and product "g" should the firm sell to maximize profit?
Question 26
Essay
Air Comfort Electronics produces small, electric, Victorian-reproduction fans for home and office use. The final product division of the company manufactures all parts of the fan except the electric motor, and then assembles, packages and distributes the product. The fan motors are produced by a separate division of the firm called Westside Armature Works. Westside could sell the motors in the open market to a number of other fan and appliance manufacturers at a standard price of $2.50. There is vigorous competition in the electric motor industry and it is unlikely that, for the size and type motor needed for the fan, any but the going price can be obtained. Management has determined that the demand curve in quantity sold per month for its most popular model, the Casa-Frio model is: Q
c
= 8,250 - 100P
c
, so that MR
c
= 82.5 - .02Q
c
) while Air Comfort's marginal cost for the Casa-Frio fan, excluding the cost of the display module is: MC
c
= .003
c
In addition, management has determined that the marginal cost for the electric motors is: MC
m
= .0005Q
m
a. At what final product price and rate of output will the firm maximize profit? b. How much of the transfer product should be produced? c. Should the final product division obtain all of its motors for the fan from Westside Armature Works? Why or why not?
Question 27
Essay
Tracey Biogenetics, Inc purchases anti-snoring devices from a manufacturer in China and distributes them to retail stores throughout the United States. Tracey's management has estimated that within the range of feasible prices for the devices, the elasticity of demand of the retail stores is -2.0. If Tracey can obtain any quantity of devices from the manufacturer for a fixed price of $8, answer the following: a. What will be its profit-maximizing markup percentage? b. What price should it charge for its anti-snoring devices?
Question 28
Multiple Choice
Where there is no external market for a transfer product, the profit maximizing condition for a transfer product firm is:
Question 29
True/False
Markup on price is the proportion of the cost of goods sold that represents an amount added to that figure to arrive at the selling price.
Question 30
Essay
Solis Technology, Inc purchases computer sound systems from a manufacturer in China and distributes them to retail stores throughout the United States. Solis's management has estimated that within the range of feasible prices for the drives, the elasticity of demand of the retail stores is -5.0. If Solis can obtain any quantity of drives from the manufacturer for a fixed price of $18, answer the following: a. What will be its profit-maximizing markup percentage? b. What price should it charge for its sound systems?
Question 31
Essay
Jasper's is a home cleaning company that specializes in cleaning pet odors and other residual effects of pet ownership. Their primary customers consist of homeowners who own pets and do not want to let Fido's little "deposits" taking over the house Type H) and/or yard Type Y). Both types of customers would purchase both services if they were attractively priced. The maximum amount each type of customer would pay per house and yard cleaning appear on the following table.
Jasper's is considering offering its services only as a bundle consisting of both house and yard cleaning. Given the preceding data, what price would you advise the company to charge to the bundle?
Question 32
True/False
Where there is a perfectly competitive external market for a transfer product, the profit-maximizing condition for the transfer product division is met at MR
T
= P
T
= MC
T
.
Question 33
True/False
Price discrimination allows different prices for the same product in different markets.
Question 34
Essay
QC Electronics produces small, hand-held calculators. The final product division of the company manufactures all parts of the calculator except the display unit, and then assembles, packages and distributes the product. The display units of the calculators are produced by a separate division of the firm called View Displays. View Displays could sell the display units in the open market to a number of other manufacturers at a standard price of $.25. There is vigorous competition in the display unit industry and it is unlikely that any but the going price can be obtained. Management has determined that the demand curve for quantity sold per month of the hand-held calculators is: Q
c
= 12,500 - 2000P
c
, so that MR
c
= 6.25 - .001Q
c
) while QC's marginal cost for hand-held calculators, excluding the cost of the display module is: MC
c
= .005Q
c
In addition, management has determined that the marginal cost for the display modules is: MC
d
= .0005Q
d
a. At what final product price and rate of output will the firm maximize profit? b. How much of the transfer product should be produced? c. Should the final product division obtain all of its display modules for the calculators from View Displays? Why or why not?
Question 35
Essay
Custom Hardwoods produces high quality paneling using a process that also produces large quantities of extremely high quality sawdust. For each pallet of paneling Custom produces one cubic yard of sawdust. The demand for the paneling is: Q
p
= 350 - P
p
The demand curve for the sawdust, which can be used in various other products, is; Q
s
= 25 - .25P
s
The total cost function for the two joint products is: TC = 7500 + 2Q + 2Q
2
a. How much of each product should Custom Hardwoods sell? note - fractional units of the sawdust are permitted.) b. What price should be charged for each product? c. Should Custom Hardwoods withhold any of either products from the market? If so, which one and how much?
Question 36
Essay
The Bulverde Railroad runs a freight train daily between Brownsville and Bulverde. Two major customers use this service: Texas Spice Distributors and Bulverde Gypsum Company. The demand for freight cars is given by the following equations: P
s
= 500 - 8Q
s
for Texas Spice Distributors, and P
g
= 400 - 5Q
g
for Bulverde Gypsum Company. P is the price charged by Bulverde Railroad for hauling one freight car of materials between Brownsville and Bulverde, and Q is the number of cars demanded by each user. Bulverde Railroad's total cost function is given by the following equation: TC = 10,000 + 20Q where Q is the total number of freight cars hauled on a particular trip. If Bulverde Railroad price discriminates: a. What will be the quantity demanded by each customer? b. What will be the prices charged each customer? c. What will be the railroad's total profit?
Question 37
True/False
In the case of joint products produced in fixed proportions, each increment of output, Q, consists of a certain amount of each jointly produced product.
Question 38
True/False
Where there is no external market for a transfer product, the profit maximizing condition for transfer product firms is MR
F
= MC
F
+ MC
T
.
Question 39
True/False
In a joint product problem with products produced in fixed proportions, profit would be maximized where MR
A
= MR
B
= MC, provided that the total of MR
A
and MR
B
is positive.