Problem 2 (30 pts) (Explain your answers!) Firm A has the production function f(l, k) =...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Problem 2 (30 pts) (Explain your answers!) Firm A has the production function f(l, k) = 21+2k where I is units of labor, with price w = 2 and k is capital, with price r = 1. The output price is p. (a) Find the marginal product of labor. Is it diminishing? l (b) What is the maximum output which firm A can produce from 1 = 1 and k = 4? Find the slope of A's isoquant at 1 and k = 4. l = (c) Show that firm A's production function has decreasing returns to scale. (d) Suppose that, in the short run, capital is fixed at k = 16. Find the firm's input demand function for labor and its maximum short-run profit for any p > 0. (e) Write down and solve the firm's long run profit maximization problem for any p > 0. (f) Use your results in (d) and (e) to prove that the firm's long run profits are never smaller than its short run profits. Explain why. Problem 2 (30 pts) (Explain your answers!) Firm A has the production function f(l, k) = 21+2k where I is units of labor, with price w = 2 and k is capital, with price r = 1. The output price is p. (a) Find the marginal product of labor. Is it diminishing? l (b) What is the maximum output which firm A can produce from 1 = 1 and k = 4? Find the slope of A's isoquant at 1 and k = 4. l = (c) Show that firm A's production function has decreasing returns to scale. (d) Suppose that, in the short run, capital is fixed at k = 16. Find the firm's input demand function for labor and its maximum short-run profit for any p > 0. (e) Write down and solve the firm's long run profit maximization problem for any p > 0. (f) Use your results in (d) and (e) to prove that the firm's long run profits are never smaller than its short run profits. Explain why.
Expert Answer:
Answer rating: 100% (QA)
Firm As Production Function Analysis a Marginal Product of Labor MPL The marginal product of labor MPL is the change in output fl k with respect to a change in one unit of labor l while holding capita... View the full answer
Related Book For
Posted Date:
Students also viewed these economics questions
-
A: Suppose you have a homothetic production technology and you face input prices (w,r). (a) On a graph with labor on the horizontal and capital k on the vertical axis, illustrate a ray along which...
-
CANMNMM January of this year. (a) Each item will be held in a record. Describe all the data structures that must refer to these records to implement the required functionality. Describe all the...
-
The Federal Reserve may raise its benchmark interest rate later this month. How is this achieved? Why would they do this? Explain the consequences fully. (Include graphs with your answer)
-
Saddle Inc. has two types of handbags: standard and custom. The controller has decided to use a plantwide overhead rate based on direct labor costs. The president has heard of activity-based costing...
-
Determine the forces on all members by the method of joints. Use Excel to solve the equations. 900. Ibf A 5.00 ft D 15.0 ft 15.0 ft
-
From 2008 to 2015, auto loan rates in the United States declined from around 8% to near historic lows of around 4%. At the same time, auto sales increased dramatically. How, if at all, does this...
-
Forten Company, a merchandiser, recently completed its calendar- year 2013 operations. For the year, (1) all sales are credit sales, (2) all credits to Accounts Receivable reflect cash receipts from...
-
A psychrometer has a dry-bulb reading of 90F and a wet-bulb reading of 60F. Find each of the following measurements. (Use the data in this table as necessary.) (a) relative humidity (Enter your...
-
What determines identity diffusion? absence of both crisis and commitment presence of a crisis but not of a commitment presence of both a crisis and a commitment absence of a crisis with the presence...
-
Describe fixed, variable, and mixed cost behavior. Distinguish between direct costs and indirect costs. Give an example of each. Outsourcing is a major financial decision that companies rely on for...
-
Given the following three planes: D: (x,y,z)=(0,-1,4)+ k(-2, 1, 2) D (x,y,z)=(2,-1,14)+m(1,0,5) 1.Prove that these two lines are secant and find their point of intersection 2. Find the equation of...
-
4. Currently ABC mutual funds portfolio worth RM500 million and its liabilities and shares outstanding are RM10 million and 20 million. a) What is NAV fund? b) c) (2 marks) After a year, the fund is...
-
A few years later, Hubble and his assistant Milton Humason were able to observe that nearly all spiral nebulas were rushing away from our location in the Milky Way. Additional observations showed...
-
The viscosity of SAE 10 W30 oil is = 0.100 N s/m. Determine its kinematic viscosity. The specific gravity is So = 0.92. Express the answer in Sl and FPS units. *1-28. If the kinematic viscosity of...
-
After issuing an auditors report, an auditor has no obligation to make continuing inquiries about audited financial statements unless A. A final resolution is made of a contingent liability that had...
-
Determine the center and radius of each circle. Sketch each circle. 4x 2 + 4y 2 9 = 16y
-
How might bundling increase a firm's profits? When is bundling not likely to increase profits?
-
Sally consumes housing (denote the number of units of housing by h) and other goods (a composite good whose units are measured by y), both of which she likes. Initially she has an income of $100, and...
-
Figure 10.18 below shows the supply and demand curves for cigarettes. The equilibrium price in the market is $2 per pack if the government does not intervene, and the quantity exchanged in the market...
-
Mega Tech, Inc. designs and manufactures automotive components. For years, the company enjoyed a stable marketplace, a small but loyal group of customers, and a relatively predictable environment....
-
Describe the features of a project. How do they differ from day-to-day processes within an organization?
-
In 2003, the Department of Health and Human Services in Victoria, Australia, initiated a AU$323 million project to develop HealthSMART, an integrated IT system that would deliver resource management,...
Study smarter with the SolutionInn App