John Adams plans to retire at the age of 62. He wants an annual income of $60,000 per year. John is currently 45 years of age. How much does he have to place at the end of each year into a retirement account earning 15 percent per year in order to have an adequate retirement nest egg at age 62? He believes that he will live to be 87 and plans to earn 12 percent during retirement. He will draw the money at the end of each year.

Shrieves casting company is considering adding a new line to its product mix, and the capital budgeting analysis is being conducted by sidney johnson, a recently graduated mba. the production line would be set up in unused space in the main plant. the machinery’s invoice price would be approximately $200,000, another $10,000 in shipping charges would be required, and it would cost an additional $30,000 to install the equipment. the machinery has an economic life of 4 years, and shrieves has obtained a special tax ruling that places the equipment in the macrs 3-year class. the machinery is expected to have a salvage value of $25,000 after 4 years of use. the new line would generate incremental sales of 1,250 units per year for 4 years at an incremental cost of $100 per unit in the first year, excluding depreciation. each unit can be sold for $200 in the first year. the sales price and cost are both expected to increase by 3% per year due to inflation. further, to handle the new line, the firm’s net working capital would have to increase by an amount equal to 12% of sales revenues. the firm’s tax rate is 40%, and its overall weighted average cost of capital, which is the risk-adjusted cost of capital for an average project (r), is 10%. define “incremental cash flow.” (1) should you subtract interest expense or dividends when calculating project cash flow?

Schonhardt corporation's relevant range of activity is 2,500 units to 5,500 units. when it produces and sells 4,000 units, its average costs per unit are as follows: averagecost per unitdirect materials $ 7.60direct labor $ 2.90variable manufacturing overhead $ 1.65fixed manufacturing overhead $ 2.90fixed selling expense $ 0.95fixed administrative expense $ 0.65sales commissions $ 0.75variable administrative expense $ 0.65if 4,500 units are produced, the total amount of fixed manufacturing cost incurred is closest to: multiple choicea $16,800b $11,400c $11,600d $15,400

Define the marginal rate of substitution between two goods (x and y). if a consumer’s preferences are given by u(x,y) = x3/4y1/4, compute the consumer’s marginal rate of substitution as a function of x and y. calculate the mrs if the consumer has chosen to consumer 48 units of x and 16 units of y. show your work. (use the back of the page if necessary.