2. Consider the following information of a hypothetical firm: Q = 100K0.6 L0.8; w = 1; r = 3 A. Solve for the cost-minimizing quantity of capital (K*) and labor (L*), and the minimum cost (C*) if the firm targets to produce 3,000 units of output. (10 pts) B. If target output increases to 6,000 units, solve for the new cost-minimizing quantity of capital and labor, and the minimum cost. (10 pts) C. Graphically illustrate the expansion path for the firm if it decides to increase its target output from 3,000 units to 6,000 units. (10 pts)

2. Consider the following information of a hypothetical firm: Q = 100K0.6 L0.8; w = 1; r = 3 A. Solve for the cost-minimizing quantity of capital (K) and labor (L), and the minimum cost (C*) if the firm targets to produce 3,000 units of output. (10 pts) B. If target output increases to 6,000 units, solve for the new cost-minimizing quantity of capital and labor, and the minimum cost. (10 pts) C. Graphically illustrate the expansion path for the firm if it decides to increase its target output from 3,000 units to 6,000 units. (10 pts)

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

In a fishery the long-run harvest function (harvest volume) is H(E) = aE – bE?, with a, b representing positive constants and E is fishing effort. Total cost is TC(E)= cE,with c being the unit cost of effort. Total revenue is TR(E) = pH(E), with p being the constant price of fish. Explain why higher levels of effort (E) beyond a certain point are associated with reductions in long-run total revenue (TR). Explain why it generally is not efficiency- maximizing for society to supply the level of fishing effort that maximizes the sustainable yield.
Full explanations would be appreciated! 25) In a short-run production process, the marginal cost is rising and the average variable cost is falling as output is increased. Thus, A) marginal cost is below average fixed cost. C) average fixed cost is constant. B) marginal cost is below average variable cost. D) marginal cost is above average variable cost. 26) A firm employs 100 workers at a wage rate of $10 per hour, and 50 units of capital at a rate of $21 per hour. The marginal product of labor is 3, and the marginal product of capital is 5. The firm A) could reduce the cost of producing its current output level by employing more labor and less capital. B) could reduce the cost of producing its current output level by employing more capital and less labor. C) could increase its output at no extra cost by employing more capital and less labor. D) is producing its current output level at the minimum cost. E) Both B and D are true.
13) A firm's total cost function is TC = 0.5Q², where Q is the output level. What is the returns to scale of the firm's production function? A) Increasing returns to scale. B) Decreasing returns to scale. C) Constant returns to scale. D) Negative returns. E) None of the above.
A firm’s production is represented by the following function: Q = L1/4 K3/4 . The rental rate of capital (r) is $40 and the wage rate (w) is $12.a. For a given level of output, what should be the ratio of capital to labor in order to minimize costs?b. How much capital and labor should be used to produce 400 units of output? What is the total cost?c. What is the short run total cost if output is decreased to 300 units?d. How would the capital labor choice and total cost change in the long run?e. Would the firm prefer to relocate if input prices are r = 60 and w = 8 at an alternativelocation assuming relocation is costless?
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..
Question 2: This question refers to a firm's production and profit maximization in the long-run. The firm's cost function is: TC = 20E + 100K. 2.a) In the graph below, plot the firm's isocost line representing total costs of $120,000. Indicate on the figure the value of the isocost's slope. Also indicate where the isocost line intersects with the horizontal and the vertical axes. K E 2.b) The firm is considering producing a total of 200 units. If the firm wants to minimize the cost of producing this level of output, what must the marginal rate of technical substitution be?
Which statement must be false? a) When a firm has increasing returns to scale in production, its marginal cost curve will be downward sloping. b) When a firm has constant returns to scale, its total cost curve will be an upward sloping line. c) When a firm has diminishing returns to scale in production, its average cost curve will be upward sloping. d) Every firm faces eventually diminishing returns to scale, where its average cost curve reaches its minimum.
An economist estimated that the cost function of a single-product firm isC(Q) = 100 + 20Q + 15 Q^2 + 10 Q^3Based on this information, determine:b. The variable cost of producing 10 units of output.
A firm has a production function q = min [L-OKO.6, 2M] (à) Find the firm's optimality condition for its factor mix of K and L given that it wants to produce amount q* of output. (b) Calculate the firm's long run cost function C(q) and interpret it. (c) If all firms in a particular industry have this production function, what would this imply about the viability of long run competitive equilibrium?
A firm has the following Cobb-Douglas production function: q=(L^α)(K^1-α)0<α < 1 is a parameter. Suppose in the short run K = 1. The rental rate of a unit of K is $10, and the wage rate of a unit of L is $20.(a) Derive the marginal cost of the firm (expressed in terms of α and q).(b) Derive the average variable cost of the firm (expressed in terms of α and q).(c) Derive the cost function of the firm.
Hey need correct answer
Question 32 Consider a firm with production function f(L,K)=3L1/3K2/3. Assume that capital is fixed at K=1. Assume also that the price of capital r=5 and the price of labor w=3. Then, the average cost of producing q units is? AC(q)=10/q+q2. AC(q)=3/q+q/9. AC(q)=2/3q+q/3. AC(q)=1/3q+q2/3. AC(q)=5/q+q2/9.