a) A firm operates according to the following production function: q(K,L)=100 KS LOS.The price of capital is r=$15/unit and the price of labor is w=$60 per unit. The firmcurrently operates with KSR-100 units of capital and wants to produce qs 4000 units ofoutput. How much labor does the firm need to hire and what is the total cost ofproducing the 4000 units?

The production function depends on K and L which means capital and labor make up the production or…

a) A firm operates according to the following production function: q(K,L)=100 Ks Las The price of capital is r=$15/unit and the price of labor is w=$60 per unit. The firm currently operates with KSA-100 units of capital and wants to produce qs 4000 units of output. How much labor does the firm need to hire and what is the total cost of producing the 4000 units?

a) A firm operates according to the following production function: q(K,L)=100 Ks Las The price of capital is r=$15/unit and the price of labor is w=$60 per unit. The firm currently operates with KSA-100 units of capital and wants to produce qs 4000 units of output. How much labor does the firm need to hire and what is the total cost of producing the 4000 units?

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

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.
Consider the following Cobb-Douglas production function: Y = 10L04K04. Suppose that the price of labor is w = 20 and the price of capital if r = 40. a- Derive the total cost curve for this production function. b- Derive the marginal cost curve for this production function. c- Plot the marginal and total cost curves for q = 1,2,3,4,5. What does it tell you about economies of scale for the production function? d- Suppose that the wage rate went up from 20 to 30. What would happen to the total wage bill relative to total costs, wL ;? What would happen to total costs? wL+rk*
Consider a short run production function q = cL+ K where the value for c = 3, using L units of labour and K units of capital. a) Compute the marginal product of labour. b) Does the production function exhibit decreasing, increasing or constant returns to scale? With a diagram. Note: The writing is clear and abbreviations are not allowed.
Suppose a pizza parlor has the following production costs: $3.00 in labor per pizza, $4.00 in ingredients per pizza, $0.40 in electricity per pizza, $3,000 in restaurant rent per month, and $350 in insurance per month. Assume the pizza parlor produces 4,000 pizzas per month. What is the variable cost of production (per month)? The variable cost of production is $. (Enter your response as an integer.)
A firm's production function is q = 26x^0.33y^0.67, where x and y are the amounts of factors x and y that the firm uses as inputs. If the firm is minimizing unit costs and if the price of factor x is 6 times the price of factor y, the ratio in which the firm will use factors x and y is closest to. A. x/y = 0.08 B. x/y = 0.25 C. x/y = 0.5 D. x/y = 2.4
The marginal product of labor can be determined using the total product of labor curve. Using the equation for the production function, the level of output when L = 8 and K = 25 is (3) 2³. (Enter a numeric response using a real number rounded to two decimal places). q=8LK+5L² Product or Output (q) 3,500- 3,000- 2,500- 2,000- 1,500- 1,000- 500- 0- Production Function 5 2 :8 15 15 10 Labor Input (L) 20 25
Suppose that the production function for Hannah and Sam's home remodeling business is Q = F(L,K) Q = 10L0.1K0.4.Assume the wage rate is $8,000 per week and the cost of renting a unit of capital is $1,000 per week.a. What is the least-cost input combination for remodeling 400 square feet each week? Instructions: Round your answers to 2 decimal places. units of labor and units of capital. b. What is the total cost? Instructions: Round your answer to 2 decimal places. $ .revised jrl 08-11-2011
a. A firm's long-run total cost can be written as LTC = 3000Q - 50Q2 + (1/3)Q3 and its long-run marginal cost by LMC = 3000 - 100Q + Q2. Find the range over which the firm will experience economies of scale. Explain your answer. b. A firm has a production function of Q = K * L + L, where the marginal product of labor is MPL = K + 1 and the marginal product of capital is MPK = L. The wage rate (W) is $100 per worker and the rental price (R) is $100 per unit of capital. In the short-run, capital (K) is fixed at 4. Find the minimum total cost of production in the short- and long-run if the firm produces 100 units of output.
Suppose that a firm's production function is Q = F(L) = -1L³-30L² + 5,000L. Its marginal product of labor is MPL = -3L2-60L +5,000. a. At what amount of labor input are the firm's average and marginal product of labor equal (other than at L = 0)? Instructions: Enter your answer as a whole number. units. b. Confirm that the average and marginal product curves satisfy the relationship discussed in the text. When the amount of labor input is less than the quantity identified in your answer above, the marginal product of labor is greater than the average product of labor. When labor is greater than the amount identified above, the marginal product of labor is less than the average product of labor.
I need this in words Not handwritten or no pic
Suppose Z=0, Y=9. Please solve in details.
4. Ikea Inc., a home remodeling business. The number of square feet they can remodel in a day is described by the Cobb-Douglas production function Q= F (L,K)= 4K5L0.5 where L is their number of workers and K is units of capital. The wage rate is $5 a day, and a unit of capital costs $20 a day. What is their minimum cost input combination for remodeling (Q=200) 200 square feet a day? What is the total minimum cost level? (15p)