Consider the production function Q = f(L, K) = 10KL / K+L. The marginal products of labor and capital for this function are given by? MPL = 10K^2 / (K +L)^2, MPK = 10L^2 / (K +L)^2.
(a) In the short run, assume that capital is fixed at K = 4. What is the production function for the firm (quantity as a function of labor only)? What are the average and marginal products of labor? Draw APL and MPL on one graph.
(b) What is the marginal rate of technical substitution for this technology?
(c) Are the returns to scale of this production function increasing, decreasing or constant? Explain.

Afirm's before-tax cost of debt, rd, is the interest rate that the firm must pay on debt. because interest is tax deductible, the relevant cost of debt used to calculate a firm's wacc is the cost of debt, rd (1 – t). the cost of debt is used in calculating the wacc because we are interested in maximizing the value of the firm's stock, and the stock price depends on cash flows. it is important to emphasize that the cost of debt is the interest rate on debt, not debt because our primary concern with the cost of capital is its use in capital budgeting decisions. the rate at which the firm has borrowed in the past is because we need to know the cost of capital. for these reasons, the on outstanding debt (which reflects current market conditions) is a better measure of the cost of debt than the . the on the company's -term debt is generally used to calculate the cost of debt because more often than not, the capital is being raised to fund -term projects. quantitative problem: 5 years ago, barton industries issued 25-year noncallable, semiannual bonds with a $1,600 face value and a 8% coupon, semiannual payment ($64 payment every 6 months). the bonds currently sell for $845.87. if the firm's marginal tax rate is 40%, what is the firm's after-tax cost of debt? round your answer to 2 decimal places. do not round intermediate calcu

On january 2, 2018, bering co. disposes of a machine costing $34,100 with accumulated depreciation of $18,369. prepare the entries to record the disposal under each of the following separate assumptions. exercise 8-24a part 2 2. the machine is traded in for a newer machine having a $50,600 cash price. a $16,238 trade-in allowance is received, and the balance is paid in cash. assume the asset exchange has commercial substance.

Although appealing to more refined tastes, art as a collectible has not always performed so profitably. during 2003, an auction house sold a sculpture at auction for a price of $10,211,500. unfortunately for the previous owner, he had purchased it in 2000 at a price of $12,177,500. what was his annual rate of return on this sculpture? (a negative answer should be indicated by a minus sign. do not round intermediate calculations and enter your answer as