Charlie likes both apples and bananas. he consumes nothing else. the consumption bundle where charlie consumes xa bushels of apples per year and xb bushels of bananas per year is written as (xa, xb). last year, charlie consumed 20 bushels of apples and 5 bushels of bananas.

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?

Gwen, a manager at exude apparels inc., received a message from a customer requesting a replacement for a purchased pair of shoes. exude apparels has a clearly stated no-return policy. gwen responded to the customer denying the request in a tactful and clear manner. despite this, the customer submitted a second request. in this scenario, which of the following is an appropriate response to the second request?

The common stock of ncp paid $1.35 in dividends last year. dividends are expected to grow at an annual rate of 5.30 percent for an indefinite number of years. a. if ncp's current market price is $22.57 per share, what is the stock's expected rate of return? b. if your required rate of return is 7.3 percent, what is the value of the stock for you? c. should you make the investment? a. if ncp's current market price is $22.57 per share, the stock's expected rate of return is