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Consider the production function in Learning- By-Doing Exercise 7.6: Q = L + K + M.For this production function, the marginal products of labor, capital, and materials are MPL = 1/(2 L), MPK = 1/(2 K), and MPM = 1/(2 M). Suppose that the input prices of labor, capital, and materials are w = 1, r = 1, and m = 1, respectively.
a)Given that the firm wants to produce Q units of output, what is the solution to the firm's long-run cost- minimization problem?
b)Given that the firm wants to produce Q units of output, what is the solution to the firrm?s short-run cost- minimization problem when K = 4? Will the firm want to use positive quantities of labor and materials for all levels of Q? (c)Given that the firm wants to produce 12 units of output, what is the solution to the firrm's short-run cost- minimization problem when K = 4 and L = 9? Will the firm want to use a positive quantity of materials for all levels of Q?
suppose the hourly wage is $2 and the price of each unit of capital is $8. The production function is given by q = (E^1/2)(K^1/2) and the marginal product of labor and capital are MPe =(K^1/2)/(2E^1/2) and MPk =(E^1/2)/(2K^1/2) respectively.
a. If the bond market is efficient, what is the market price of the bond expected to be in one year b. Suppose the bond issuer increases the coupon payment during the year to $30, with the same interest rate and the same current market price, what..
The loan is to be repaid in seven equal annual installments including interest. The firm's marginal income tax rate is 39%. The equipment qualifies for MACRS 5-year property. a. Calculate the interest on loan for each year.
The banking market in Athens, Ohio, currently has four banks with market shares of 60%, 20%, 15%, and 5%. The two smallest banks have proposed merging. Under the standard merger guidelines of the Federal Reserve and the Justice Department.
A market study found that the served by Online Tutors can be divided into two types of students: students needing help with math, who are primarily interested in math tutoring but may be interested in some science tutoring.
Is there either a recessionary output gap (negative GDP gap) or an inflationary output gap (positive GDP gap) at the equilibrium interest rate and, if either, what is the amount There is a recessionary output OR gap inflationary output gap of $.
During a year of operation, a firm collects $175,000 in revenue and spends $80,000 on raw materials, labor expenses, utilities and rent. The owners of the firm have provided $500,000 of their own money to the firm (and view that money as a loan to..
The EPA tests vehicles for gasoline mileage under stringent testing conditions. The testing for a particular make and model of mid-sized SUV involved 35 vehicles submitted by the manufacturer. Assume the vehicles submitted for testing constitute a..
Further, the standard deviation for children under 12 was 51.7, while the standard deviation for children 13 to 17 of age was 67.6. Assuming that the variances in the populations are equal, is there a difference in the mean cell phone usage betwee..
GeeM has a sporty wheel package and a luxury interior package that is considering offering to its auto boyers. GeeM has estimated that there are three consumer types (A, B, and C - all of equal magnitude - for simplicity, consider it one of each ..
Consider an agent who lives two periods. He is unemployed at the beginning of the first period and has a wage offer of w. If he accepts the wage offer w, he will work forever at that wage. If he rejects the offer, he receives an unemployment benef..
A contractor purchases a piece of equipment for $26,000. The equipment requires an average expenditure of $9.25 per hour for fuel and maintenance, and the operator is paid $15.50 per hour to operate the machinery. Find the average cost function.
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