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A profit-maximizing firm manufactures widgets (Y) using machines (K) and full-timeworkers (L). In any given week, its output is given by the production function:Y= F (K, L) = 1200K +700L + 2KL - L2 - 2K2The marginal product of labor (MPL) isMPL = 700 +2K - 2LAnd the marginal product of capital (MPK) isMPK = 1200 +2L - 4K
The firm operates in perfectly competitive market and product markets. The going price of capital (r) is $1,000 per machine per week. Moreover, the firm sells its output at the going price (p) of $1 per widget. Consider the firm's short run labor demand problem.
If the current stock of capital is fixed at 250 units, how many full-time workers should the firm employ if the weekly salary of each full-time worker (w) is $400 per week? Compute the firm's level of output and profits per week in this short-run equilibrium.
The supply curve for product X is given by QXS = -520 + 20PX . a. Find the inverse supply curve. P = + Q b. How much surplus do producers receive when Qx = 400? When Qx = 1,200
Now suppose a proportional tax with a 10 percent tax rate is imposed instead of the regressive tax. Calculate and graph the new consumption schedule, and note the MPC and the multiplier. GDP, Tax, percent DIs
f(L,K) = ln(L+1) + ln(K+1) (1) Does this function has any corner solutions? If so, what are the values (2) For what values of (w,r,y), is there an interior solution for cost minimization (3) Find all possible interior solution for (L*,K*)
Wilpen Corporation, a price-setting company, manufactures nearly 80% of all tennis balls purchased in the United States.
Suppose Jean Splicer, an investor, buys $100,000 of shares of stock in a diversified bundle of Bio-tech firms and exactly one year later sells those shares for $108,000. If the value of the CPI at the date of Jean's purchase was 160, and rose by t..
ABC Corporation's recently issued bonds paying interest semiannually and maturing in 10 years. The face value of each bond is $1000, and 6.8% is the nominal interest rate. (a) What is the effective interest rate an investor receives.
Market research at Apple Corporation has shown that the demand function for its new iPhone is as follows: QA = 3 - 0.02PA + 0.0002I + 0.01PS where QA is the quantity demanded (in thousands) of iPhones, PA is the price of an iPh..
If theTrust did agree to fund all costs except the $3 million bond proceeds now available, determine the equivalent annual amount that must be raised in years 4 through 6 to supply all remaining project funds. Assume the Trust will not charge any ..
The demand for personal computers has been estimated to be Q = 500,000 - 700P +200I - 500S. Assume that per capita income I is $13,000 and the average price of software S is $400. When the price of personal computers is P=$3000,
Jim's utility function is U(x, y) = xy. Jerry's utility function is U(x, y) = 1,000xy + 2,000. Tammy's utility function is U(x, y) = xy(1 - xy). Oral's utility function is U(x,y)= -1/(10+2xy).Marjoe's utility function is U(x, y) = x(y + 1,000).
Jethro has been promised a payment of $1000, which is to be paid exactly 8 years from now. He is completely certain that the payment will in fact be made. Jethro believes that the appropriate discount rate is 5% per year, and that this will contin..
Suppose that the money demand is given by: Md = PY(0.25 i) Suppose that nominal income is $100 and wealth is $500 and that the money supply is set by the central bank at s = 20. a. Derive the demand for bonds.b. Draw the supply and the demand of mon..
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