Answered: Find out the maximum possible output…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Does the production function y=0.8x_1x_2 exhibit constant returns to scale, increasing returns to scale, decreasing returns to scale, or homothetic returns to scale
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^0.5K^0.5,where L is their number of workers and K is units of capital. The wage rate is $250 per week and a unit of capital costs $250 per week. Suppose that when initially producing 100 square feet a week, they use 10 units of capital.a. What is their short-run cost of remodeling 1,000 square feet per week? Instructions: Enter your answer as a whole number. $ b. What is their long-run cost of remodeling 1,000 square feet per week? Instructions: Enter your answer as a whole number. $
A factory that you are managing has an hourly production process that can be represented by the following Cobb Douglas Production function: Q=10KL. 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 produce 100 units per hour or Q-100. Find the optimal amount of labour and capital that you will be using, and compute the total cost.
A Firms production function is given by Q=L?K +1/L when L 2 1 and K 2 1). Find out AP , MPL , MPx and MRTS,x . At what input condition does APL become equal to MP ?
A firm's total cost function is C=24x2−xy+8y2C=24x2−xy+8y2 and they are required to produce a combination of products totalling 128. In order words, the firm is subject to the constraint x+y=128x+y=128. What is the Lagrangian function?
The production function of producing an item is given by 3K Q = 744 VR - where K is the capital required. Calculate the marginal product of capital if the current capital is 512.
A factory that you are managing has an hourly production process that can be represented by the following Cobb-Douglas production function: Q = (K^0.25)(L^0.25.) The price of one unit of capital per hour is $10 and the price of one unit of labour per hour is $20. a) Find the optimal amount of labour and capital that you will be using to produce 100 units of output, b) Compute the total cost of producing 100 units of output. c) What have you learn from doing or thinking about this problem?
Suppose a firm with a production function given by Q = K0.4L0.6 produces 100 units of output. The firm pays a wage of $20 per units and pays a rental rate of capital of $40 per unit. (Note: MPL = 0.6K0.4L-0.4 and MPK = 0.4K-0.6L0.6 ) What is the minimum cost of producing 100 units of output?
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= 100KL. If the price of capital is $81 per day and the price of labor is $27 dollars per day, what is the minimum cost Suppose the production function for a product is given by q of producing 900 units of output?
Suppose a firm is producing computer monitors utilizing the following technology: Q=F(K,L)=L1/3K2/3 Q – weekly output L – labor hours K – hours of capital use Would the firm with the above production function be able to produce monitors using only capital (no labor)? Explain.

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Find out the maximum possible output for a firm with two units of L and 50 units of k when its production function is Q = 5L + 3K