Y = AK^αL^1-α R/P = αAK^α-1L^1-α
W/P = (1 - α)AK^αL^-α
L = 1/P[(N - (R/P/W/P) K]
Y = C
Suppose that that K doubles and A decreases. Construct a pair of well-labeled diagrams of equilibrium in the factor markets to show how the change in A affects the supply of capital, the supply of labor, the real wage, and the real rental rate. Write down either in words or symbolically how the change in A would affect output Y and consumption C.

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.)

Thomas kratzer is the purchasing manager for the headquarters of a large insurance company chain with a central inventory operation. thomas's fastest-moving inventory item has a demand of 6,000 units per year. the cost of each unit is $100, and the inventory carrying cost is $10 per unit per year. the average ordering cost is $30 per order. it takes about 5 days for an order to arrive, and the demand for 1 week is 120 units. (this is a corporate operation, and the are 250 working days per year.)a) what is the eoq? b) what is the average inventory if the eoq is used? c) what is the optimal number of orders per year? d) what is the optimal number of days in between any two orders? e) what is the annual cost of ordering and holding inventory? f) what is the total annual inventory cost, including cost of the 6,000 units?

:; )write a paragraph of two to three sentences and describe what will happen to a society that does not have a productive workforce?