Suppose that BMW can produce any quantity of cars at a constant marginal cost equal to $20,000 and a fixed cost of $10 billion. You are asked to advise the CEO as to what prices and quantities BMW should set for sales in Europe and in the United States. The demand for BMWs in each market is given by:
QE = 4,000,000 – 100 PE and QU = 1,000,000 – 20PU
where the subscript E denotes Europe, the subscript U denotes the United States. Assume that BMW can restrict U. S. sales to authorized BMW dealers only. Prices and costs are in dollars (not thousands of dollars as your book may indicate).

a. What quantity of BMWs should the firm sell in each market, and what should the price be in each market? What should the total profit be?
b. If BMW were forced to charge the same price in each market, what would be the quantity sold in each market, the equilibrium price, and the company’s profit?

The u.s. stock market has returned an average of about 9% per year since 1900. this return works out to a real return (i.e., adjusted for inflation) of approximately 6% per year. if you invest $100,000 and you earn 6% a year on it, how much real purchasing power will you have in 30 years?

Arriving and delivering a load of company executives for a business meeting at a destination far from home base requiring an overnight stay, a company’s pilot requested approval from the company finance office to pay to either have the company’s jet brought into the fbo's hangar overnight to protect it from a forecast snowfall or to have it de-iced by the fbo the following morning well-before scheduled departure. the company was under considerable financial pressure at the time, and the pilot’s requests were denied because of the cost. so, early the following morning, the pilot was up on the wing of the jet sweeping off an accumulation of snow and ice with a borrowed push broom in preparation for the scheduled departure with the executives, but slipped and fell to the ground, suffering a broken neck. the business was organized as a limited partnership, owned by 3 limited partners and one general partner. as a cost-saving measure, the company had dropped its workers’ compensation insurance before the accident. analyze the potential liability for the pilot’s injuries of each of the following, showing your reasoning clearly: the company the general partner the limited partners analyze how the outcome would have been different, if the business had been organized as a corporation and observed all of the formalities to legitimize its corporate status. analyze how the outcome would have been different, if the pilot had been covered by workers’ compensation insurance.

Arival company manufactures fuel tanks for cars using a different production technique. the total weekly cost (in dollars) of producing x tanks is given by c(x) = 10000 +90x - 0.04x2 find the marginal cost at a production level of 500 fuel tanks per week to approximate the cost of the 501st unit (round to the nearest 2 decimal places, if needed)