Let the hourly production function for Fred's Fountains be the following: .251.5 The rental rate of capital, v, is $80 and the wage rate, w, is $40. In the short run, assuming K = 16, answer the following: а. What is the short run total cost function? b. What is the short run supply function? If the price of fountains is $240, to maximize profit, how much labor С. should they use and what is the level of output and profit?

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Let the hourly production function for Fred's Fountains be the following:
9=K:25,.5
The rental rate of capital, v, is $80 and the wage rate, w, is $40.
In the short run, assuming K = 16, answer the following:
а.
What is the short run total cost function?
b.
What is the short run supply function?
If the price of fountains is $240, to maximize profit, how much labor
С.
should they use and what is the level of output and profit?
d.
Given the above situation, Graph R and SC. What about the graph tells
you that the second order conditions for profit maximization are satisfied?
Is the firm using the right amount of K and L to minimize cost in the
е.
lorlg run? How do you know?
Now calculate the long-run, quantity contingent, input (or factor)
demand functions for K and L. At a price of $240 for fountains, how much K
and L should they be using?
f.
g.
Now, for the above scenario, what are the long run profit maximizing
input demand functions?
Transcribed Image Text:Let the hourly production function for Fred's Fountains be the following: 9=K:25,.5 The rental rate of capital, v, is $80 and the wage rate, w, is $40. In the short run, assuming K = 16, answer the following: а. What is the short run total cost function? b. What is the short run supply function? If the price of fountains is $240, to maximize profit, how much labor С. should they use and what is the level of output and profit? d. Given the above situation, Graph R and SC. What about the graph tells you that the second order conditions for profit maximization are satisfied? Is the firm using the right amount of K and L to minimize cost in the е. lorlg run? How do you know? Now calculate the long-run, quantity contingent, input (or factor) demand functions for K and L. At a price of $240 for fountains, how much K and L should they be using? f. g. Now, for the above scenario, what are the long run profit maximizing input demand functions?
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