Joe owns a small coffee shop, and his production function is q = 3KL where q is total output in cups per hour, K is the number of coffee machines (capital), and L is the number of employees hired per hour (labor). If Joe's capital is currently fixed at K=3 machines, what is his short-run production function?

Quantitative problem: you need $20,000 to purchase a used car. your wealthy uncle is willing to lend you the money as an amortized loan. he would like you to make annual payments for 4 years, with the first payment to be made one year from today. he requires a 8% annual return. what will be your annual loan payments? round your answer to the nearest cent. do not round intermediate calculations. $ how much of your first payment will be applied to interest and to principal repayment? round your answer to the nearest cent. do not round intermediate calculations. interest: $ principal repayment

Pennewell publishing inc. (pp) is a zero growth company. it currently has zero debt and its earnings before interest and taxes (ebit) are $80,000. pp's current cost of equity is 10%, and its tax rate is 40%. the firm has 10,000 shares of common stock outstanding selling at a price per share of $48.00. refer to the data for pennewell publishing inc. (pp). pp is considering changing its capital structure to one with 30% debt and 70% equity, based on market values. the debt would have an interest rate of 8%. the new funds would be used to repurchase stock. it is estimated that the increase in risk resulting from the added leverage would cause the required rate of return on equity to rise to 12%. if this plan were carried out, what would be pp's new value of operations? a. $484,359 b. $521,173 c. $584,653 d. $560,748 e. $487,805

You hold a diversified $100,000 portfolio consisting of 20 stocks with $5,000 invested in each. the portfolio's beta is 1.12. you plan to sell a stock with b = 0.90 and use the proceeds to buy a new stock with b = 1.50. what will the portfolio's new beta be? do not round your intermediate calculations.