Use the probability distribution or histogram to find the? (a mean,? (b variance,? (c standard? deviation, and? (d expected value of the probability? distribution, and? (e interpret the results. the histogram shows the distribution of household sizes in country a for a recent year.

Goals that are overly ambitious can discourage employees and decrease motivation, yet the idea of stretch goals is proposed as a way to get people fired up and motivated. as a manager, how might you decide where to draw the line between a “good” stretch goal and a “bad” one that is unrealistic?

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?

Chang corp. has $375,000 of assets, and it uses only common equity capital (zero debt). its sales for the last year were $595,000, and its net income was $25,000. stockholders recently voted in a new management team that has promised to lower costs and get the return on equity up to 15.0%. what profit margin would the firm need in order to achieve the 15% roe, holding everything else constant? a. 9.45%b. 9.93%c. 10.42%d. 10.94%e. 11.49%