The demand equation for a com- pany is p = 200 − 3x, and the cost function is C(x) = 75 + 80x − x2 , 0 ≤ x ≤ 40. (a) Determine the value of x and the corresponding price that maximize the profit. (b) If the government imposes a tax on the company of $4 per unit quantity produced, determine the new price that maximizes the profit

If you want to compare two different investments, what should you calculate

Suppose that in an economy the structural unemployment rate is 2.2 percent, the natural unemployment rate is 5.3 percent, and the cyclical unemployment rate is 2 percent. the frictional unemployment rate is percent and the actual unemployment rate (in this economy) is percent.

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?