For each of the following examples, draw a representative isoquant. what can you say about the marginal rate of technical substitution in each case?
a. a firm can hire only full-time employees to produce its output, or it can hire some combination of fulltime and part-time employees. for each full-time worker let go, the firm must hire an increasing number of temporary employees to maintain the same level of output.
b. a firm finds that it can always trade two units of labor for one unit of capital and still keep output constant.
c. a firm requires exactly two full-time workers to operate each piece of machinery in the factory

Aquatic marine stores company manufactures special metallic materials and decorative fittings for luxury yachts that require highly skilled labor. aquatic uses standard costs to prepare its flexible budget. for the first quarter of the year, direct materials and direct labor standards for one of their popular products were as follows: direct materials: 3 pounds per unit; $ 6 per pound direct labor: 4 hours per unit; $ 19 per hour during the first quarter, aquatic produced 5 comma 000 units of this product. actual direct materials and direct labor costs were $ 65 comma 000 and $ 330 comma 000, respectively. for the purpose of preparing the flexible budget, calculate the total standard direct materials cost at a production volume of 5 comma 000 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.)

Brian has been working for a few years now and has saved a substantial amount of money. he now wants to invest 50 percent of his savings in a bank account where it will be locked for three years and gain interest. which type of bank account should brian open? a. savings account b. money market account c. checking account d. certificate of deposit