In spending all his income on beer and pizza, fred finds that the marginal utility of the last pizza he consumed is 8, and the marginal utility of the last bottle of beer is 4. the price of a bottle of beer is $1.50. if fred has maximized his utility, the price of pizza must be:

Xt year baldwin plans to include an additional performance bonus of 0.25% in its compensation plan. this incentive will be provided in addition to the annual raise, if productivity goals are reached. assuming the goals are reached, how much will baldwin pay its employees per hour?

Abenefit of using a debit or credit card instead of cash is that it provides a paper record of a purchase. looking at the purchases below, which one should be made using a credit or a debit card?

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?