Debby’s Dance Studios is considering the purchase of new sound equipment that will enhance the popularity of its aerobics dancing. The equipment will cost $24,500. Debby is not sure how many members the new equipment will attract, but she estimates that her increased annual cash flows for each of the next five years will have the following probability distribution. Debby’s cost of capital is 13 percent. Use Appendix D for an approximate answer but calculate your final answers using the formula and financial calculator methods. Cash Flow Probability
$ 3,840 0.4
5,280 0.2
8,110 0.3
10,370 0.1
a. What is the expected value of the cash flow? The value you compute will apply to each of the five years.
Expected Cash Flow $
b. What is the expected net present value? (Negative amount should be indicated by a minus sign. Do not round intermediate calculations and round your answer to 2 decimal places. )
Net Present Value $
c. Should Debby buy the new equipment?

Lynch company manufactures and sells a single product. the following costs were incurred during the company’s first year of operations: variable costs per unit: manufacturing: direct materials $ 12 direct labor $ 6 variable manufacturing overhead $ 1 variable selling and administrative $ 1 fixed costs per year: fixed manufacturing overhead $ 308,000 fixed selling and administrative $ 218,000 during the year, the company produced 28,000 units and sold 15,000 units. the selling price of the company’s product is $56 per unit. required: 1. assume that the company uses absorption costing: a. compute the unit product cost. b. prepare an income statement for the year. 2. assume that the company uses variable costing: a. compute the unit product cost. b. prepare an income statement for the year.

Suppose a firm faces a fixed price of output, 푝푝= 1200. the firm hires workers from a union at a daily wage, 푤푤, to produce output according to the production function 푞푞= 2퐸퐸12. there are 225 workers in the union. any union worker who does not work for this firm is guaranteed to find nonunion employment at a wage of $96 per day. a.what is the firm’s labor demand function? b.if the firm is allowed to choose 푤푤, but then the union decides how many workers to provide (up to 225) at that wage, what wage will the firm set? how many workers will the union provide? what is the firm’s output and profit? what is the total income of the 225 union workers? c.now suppose that the union sets the wage, but the firm decides how many workers to hire at that wage (up to 225). what wage will the union set to maximize the total income of all 225 workers? how many workers will the firm hire? what is the firm’s output and profit? what is the total income of the 225 union workers? [hint: to maximize total income of union, take the first order condition with respect to w and set equal to 0.]

Fanning company is considering the addition of a new product to its cosmetics line. the company has three distinctly different options: a skin cream, a bath oil, or a hair coloring gel. relevant information and budgeted annual income statements for each of the products follow. skin cream bath oil color gel budgeted sales in units (a) 110,000 190,000 70,000 expected sales price (b) $8 $4 $11 variable costs per unit (c) $2 $2 $7 income statements sales revenue (a × b) $880,000 $760,000 $770,000 variable costs (a × c) (220,000) (380,000) (490,000) contribution margin 660,000 380,000 280,000 fixed costs (432,000) (240,000) (76,000) net income $228,000 $140,000 $204,000 required: (a) determine the margin of safety as a percentage for each product. (b) prepare revised income statements for each product, assuming a 20 percent increase in the budgeted sales volume. (c) for each product, determine the percentage change in net income that results from the 20 percent increase in sales. (d) assuming that management is pessimistic and risk averse, which product should the company add to its cosmetics line? (e) assuming that management is optimistic and risk aggressive, which product should the company add to its cosmetics line?