The following table shows the capital and labor requirements for 10 different levels of production. Assuming that the price of labor (PL) is $9 per unit and the price of capital (PK) is $6 per unit, comput and graph total cost, marginal cost, and average cost for the firm. To do this, fill in the total cost for each output level in the table below. (Enter your responses as whole numbers.) q 0 1 2 3 4 5 6 7 8 9 10 K 0 20 20 20 20 20 20 20 20 20 20 L 0 2 6 9 12 16 22 30 40 52 66 TC 0

The following table shows the capital and labor requirements for 10 different levels of production. Assuming that the price of labor (PL) is $9 per unit and the price of capital (PK) is $6 per unit, comput and graph total cost, marginal cost, and average cost for the firm. To do this, fill in the total cost for each output level in the table below. (Enter your responses as whole numbers.) q 0 1 2 3 4 5 6 7 8 9 10 K 0 20 20 20 20 20 20 20 20 20 20 L 0 2 6 9 12 16 22 30 40 52 66 TC 0

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Problem 7. A factory that you are managing has an hourly production process that can be represented by the following Cobb Douglas Production function: Q 20KL The price of one unit of capital per hour is $20 and the price of one unit of labour per hour is $20. You have been instructed to have a total cost of $1,000 or TC $1,000. Find the optimal amount of labour and capital that you will be using, and compute the amount of output..
Suppose that a firm's production function is: a = 3L * K ^ 0.5 The cost of capital is $30/unit; the cost of labor is $20/unit. What is the minimum cost of producing q = 243 ?
Hannah and Sam run Moretown Makeovers, a home remodeling business. The number of square feet they can remodel in a week is described by the Cobb-Douglas production function Q=F(L,K) Q=10L^0.25 K^0.25 where L is their number of workers and K is units of capital. The wage rate is $500 per week and a unit of capital costs $500 per week. Suppose that when initially producing 10 square feet a week, they use 1 unit of capital.a. What is their short-run cost of remodeling 80 square feet per week? Instructions: Round your answer to the nearest whole number. $ b. What is their short-run average cost of remodeling 80 square feet per week? Instructions: Round your answer to the nearest whole number. $ c. What is their long-run cost of remodeling 80 square feet per week? Instructions: Round your answer to the nearest whole number. $ d. What is their long-run average cost of remodeling 80 square feet per week? Instructions: Round your answer…
The production function for a product is given by q= 10K^(1/2)L^(1/2) where K is capital, and L is labor and q is output d) Now suppose w =30 and r = 120. What is the minimum cost of producing q=1000. (You must show your work by clearly writing the equations that you use to derive the cost minimizing levels of L and K.) e) Now suppose that the firm is in the short run and cannot vary the amount of capital. That is, it must use the same amount of capital as in part d). However, the firm wants to produce 1200 units of output. How much labor should it use to minimize its cost and what is the minimum cost of producing q =1200?
Typed and correct answer please. I ll rate
Consider a production process where flowers are grown (the output) using gardeners (labor) and greenhouses (capital). The quantity of flowers grown per day with various combinations of labor and capital are shown in the table below. Suppose that each gardener is paid $200 per day and the greenhouse is rented for $500 per day. Fill in total cost in the table below. (Enter your responses as integers.) Labor Capital Output Total Cost 0 1 0 $ 1 1 160 2 1 480 3 1 640 4 1 720 5 1 760
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can you explain how they got M=y^2/2 and L=2y^2 from part b of this question