Consider 2 airplane manufacturers that compete as cournot duopolists in the market for commercial aircraft. arrowing (firm a) has a cost function given by =whereas skytrain (firm s) has a cost function given by ) =. the market demand function for commercial airliners is given by: = − where is the sum of the quantity of planes available for purchase. a) if the two companies choose the quantities of trips supplied simultaneously, find the cournot equilibrium quantities supplied for each firm and the equilibrium price. b) suppose that firm a has the opportunity to choose their quantity of trips first, so that they are a stackelberg leader. find the ne to this game.

Examine the following book-value balance sheet for university products inc. the preferred stock currently sells for $30 per share and pays a dividend of $3 a share. the common stock sells for $16 per share and has a beta of 0.9. there are 2 million common shares outstanding. the market risk premium is 9%, the risk-free rate is 5%, and the firm’s tax rate is 40%. book-value balance sheet (figures in $ millions) assets liabilities and net worth cash and short-term securities $ 2.0 bonds, coupon = 6%, paid annually (maturity = 10 years, current yield to maturity = 8%) $ 5.0 accounts receivable 3.0 preferred stock (par value $15 per share) 3.0 inventories 7.0 common stock (par value $0.20) 0.4 plant and equipment 21.0 additional paid-in stockholders’ equity 13.6 retained earnings 11.0 total $ 33.0 total $ 33.0 a. what is the market debt-to-value ratio of the firm? (do not round intermediate calculations. enter your answer as a percent rounded to 2 decimal places.) b. what is university’s wacc? (do not round intermediate calculations. enter your answer as a percent rounded to 2 decimal places.)

Problem page a medical equipment industry manufactures x-ray machines. the unit cost c (the cost in dollars to make each x-ray machine) depends on the number of machines made. if x machines are made, then the unit cost is given by the function =cx+−0.3x2126x31,935 . how many machines must be made to minimize the unit cost?

Chang corp. has $375,000 of assets, and it uses only common equity capital (zero debt). its sales for the last year were $595,000, and its net income was $25,000. stockholders recently voted in a new management team that has promised to lower costs and get the return on equity up to 15.0%. what profit margin would the firm need in order to achieve the 15% roe, holding everything else constant? a. 9.45%b. 9.93%c. 10.42%d. 10.94%e. 11.49%