The total cost function for a product is C(x) = 850 ln(x + 10) + 1700 where x is the number of units produced. (a) Find the total cost of producing 200 units. (Round your answer to the nearest cent.) $ (b) Producing how many units will give total costs of $9500? (Round your answer to the nearest whole number.) units

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.)

Alpha industries is considering a project with an initial cost of $8 million. the project will produce cash inflows of $1.49 million per year for 8 years. the project has the same risk as the firm. the firm has a pretax cost of debt of 5.61 percent and a cost of equity of 11.27 percent. the debt–equity ratio is .60 and the tax rate is 35 percent. what is the net present value of the project?

Suppose there are three types of consumers who attend concerts at your university’s performing arts center: students, staff, and faculty. each of these groups has a different willingness to pay for tickets; within each group, willingness to pay is identical. there is a fixed cost of $1,000 to put on a concert, but there are essentially no variable costs. for each concert: i. there are 140 students willing to pay $20. (ii) there are 200 staff members willing to pay $35. (iii) there are 100 faculty members willing to pay $50. a) if the performing arts center can charge only one price, what price should it charge? what are profits at this price? b) if the performing arts center can price discriminate and charge two prices, one for students and another for faculty/staff, what are its profits? c) if the performing arts center can perfectly price discriminate and charge students, staff, and faculty three separate prices, what are its profits?