Suppose that a firm’s production function is given by Q = ( K1/3 + L1/3 ) a , here α is a given parameter.(a) Find the marginal product of capital and labor.(b) Find the average product of capital and labor.(c) Does this production function have increasing, constant or decreasing re- turns to scale? Explain.(d) Find the marginal rate of technical substitution (RTS)(e) Use your result in (d) to find the elasticity of substitution.(f) Suppose a = 3. Set up the cost minimization problem of the firm and solve for the conditional demand for K and L

Atax on the sellers of coffee will a. increase the price of coffee paid by buyers, increase the effective price of coffee received by sellers, and increase the equilibrium quantity of coffee. b. increase the price of coffee paid by buyers, increase the e ffective price of coffee received by sellers, and decrease the equilibrium quantity of coffee. c. increase the price of coffee paid by buyers, decrease the effective price of coffee received by sellers, and increase the equilibrium quantity of coffee. d. increa se the price of coffee paid by buyers, decrease the effective price of coffee received by sellers, and decrease the equilibrium quantity of coffee.

On january 1, 2018, jay company acquired all the outstanding ownership shares of zee company. in assessing zee's acquisition-date fair values, jay concluded that the carrying value of zee's long-term debt (8-year remaining life) was less than its fair value by $21,600. at december 31, 2018, zee company's accounts show interest expense of $14,440 and long-term debt of $380,000. what amounts of interest expense and long-term debt should appear on the december 31, 2018, consolidated financial statements of jay and its subsidiary zee? long-term debt $401,600 $398,900 $401,600 $398,900 interest expense $17,140 $17,140 $11,740 $11,740 a. b. c. d.

You wish to retire in 13 years, at which time you want to have accumulated enough money to receive an annual annuity of $23,000 for 18 years after retirement. during the period before retirement you can earn 9 percent annually, while after retirement you can earn 11 percent on your money. what annual contributions to the retirement fund will allow you to receive the $23,000 annuity? use appendix c and appendix d for an approximate answer, but calculate your final answer using the formula and financial calculator methods.