Martha has $200 to spend on sneakers and sweaters. Sneakers cost $50 per pair and sweaters cost $20 each. She is thinking about buying 2 pairs of sneakers and 5 pairs of sweaters. She tells you that the additional utility that she would get from the second pair of sneakers is the same as the additional utility that she would get from the fifth sweater, i. e., the marginal utility of the second sneaker is equal to the marginal utility of the fifth sweater. Show that this bundle (2 sneakers and 5 sweaters) is not optimal. Tell her how she can increase her utility by reallocating her expenditures (while still spending the same amount in total, $200). Note that I am not looking for a specific numerical answer in terms of numbers of sneakers and sweaters. I want to know what she should buy more of and what less. Explain your answe

You are the manager of the packaging department in a cookie factory. (obviously, the packaging employees cannot eat the cookies that are transferred in during the period.) after your employees insert cookies into colorful packages (step 1) for display on store shelves, the packages of cookies are then boxed using cardboard cartons (step 2) for shipment to stores. each unit of product is represented by a carton of packaged cookies. the packaging department began the period with 1,000 units of cookies. during the period, 5,000 units of cookies were transferred in from the baking department and 5,500 units of cookies were transferred out to the finished goods department. the number of units of cookies in the ending inventory of the packaging department equals:

Afirm's before-tax cost of debt, rd, is the interest rate that the firm must pay on debt. because interest is tax deductible, the relevant cost of debt used to calculate a firm's wacc is the cost of debt, rd (1 – t). the cost of debt is used in calculating the wacc because we are interested in maximizing the value of the firm's stock, and the stock price depends on cash flows. it is important to emphasize that the cost of debt is the interest rate on debt, not debt because our primary concern with the cost of capital is its use in capital budgeting decisions. the rate at which the firm has borrowed in the past is because we need to know the cost of capital. for these reasons, the on outstanding debt (which reflects current market conditions) is a better measure of the cost of debt than the . the on the company's -term debt is generally used to calculate the cost of debt because more often than not, the capital is being raised to fund -term projects. quantitative problem: 5 years ago, barton industries issued 25-year noncallable, semiannual bonds with a $1,600 face value and a 8% coupon, semiannual payment ($64 payment every 6 months). the bonds currently sell for $845.87. if the firm's marginal tax rate is 40%, what is the firm's after-tax cost of debt? round your answer to 2 decimal places. do not round intermediate calcu

Your uncle is considering investing in a new company that will produce high quality stereo speakers. the sales price would be set at 1.5 times the variable cost per unit; the variable cost per unit is estimated to be $75.00; and fixed costs are estimated at $1,200,000. what sales volume would be required to break even, i.e., to have ebit = zero?