Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN: 9781305506381
Author: James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher: Cengage Learning
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Question
Chapter 7, Problem 8E
a)
To determine
To ascertain:The industry or industriesthat appears to display decreasing returns to scale.
b)
To determine
To ascertain:The industry that appears to display constant returns to scale.
c)
To determine
To ascertain: The industry that with a given percentage increase in capital that would result in the largest percentage increase in output.
d)
To determine
To ascertain:Theindustry that would result in the largest percentage increase in output; given the percentage increase in production workers.
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Q2. The economist for the ABC Truck Manufacturing
Corporation has calculated a production function for the
manufacture of their medium-size trucks as follows:
Q = 1.3*(L^0.75)*(K^0.3)
Where Q is the number of trucks produced per week, L is the
number of labor hours per day and K is the daily usage of capital
investment.
1. Does the equation exhibit increasing, constant or
decreasing returns to scale? Why?
2. Calculate the marginal product of labor and marginal
product of capital using the below data?
3. How many trucks will be produced per week with the
following amounts of labor and capital?
Labor Capital
100 50
120 60
150 75
200 100
300 150
13
A firm's production function is given by y(K, L) = 2√(KL) or 2(KL).5 (2 times the square root of the product of K and L), where K is the number of machines used and L is the number of labor hours.A) Does this production process exhibit increasing, constant or decreasing returns to scale? (Hint: You MUST compare y(2K, 2L) to 2*y(K, L)... do NOT compare any other proportional increase!).B) Holding the number of machines constant at 4, is the marginal product of labor increasing, constant or decreasing as more labor is used? (Hint: You MUST construct a table of L, TP, and MP for 0 through 4 workers).Insert work for both A and B.
Chapter 7 Solutions
Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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Similar questions
- Given the following production function: q = 10KL. Assume that w = 25, r = 75 and C = 1200. (a) Mathematically find the minimum cost combination of capital and labour to produce a given level of output.b) Does the production function in part (a) show increasing returns to scale, decreasing returns to scale, or constant returns to scale? Explain. (c) Using isoquants and isocosts, graphically illustrate the effect of an increase in the wage rate, assuming the firm is producing at the same level of output.arrow_forwardA firm has a production function of ?(?,?) = ??.???.? a) Explain the concept of returns to scale. Does the function provide increasing, decreasing, or constant returns to scale? b) Provide an example of a typical sector with increasing returns to scale. c) Explain the concept of MRTS and argue whether the MRTS for this production function is diminishing. Please also provide a graphical illustration using numbers.arrow_forward2arrow_forward
- Consider the following production function: ƒ(21, 22) = 21+ 20.5. a) What kind of returns to scale does this production function exhibit? a. Increasing returns to scale b. Constant returns to scale c. Cannot be determined from the given information d. Decreasing returns to scale b) At (21, 22) = (4,4), the technical rate of substitution between the two inputs 2₁ and z2 is? [note: it is a positive number]arrow_forwardQuestions 3. For each of the following production functions, determine whether it exhibits increasing, constant or decreasing returns to scale: a) Q = K + L b) Q = L + L/K c) Q = Min(2K,2L) d) Q = (L.5 )(K.5)arrow_forwardConsider the following production function: Y = F(K, L) A(2K + 3L) Does this production function exhibit constant returns to scale? =arrow_forward
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