For a random variable x, a new random variable y can be created by applying a linear transformation y = a + bx, where a and b are constants. if the random variable x has mean mu subscript xμx and standard deviation sigma subscript xσx, then the mean, variance and standard deviation of y are given by the following formulas. mu subscript y baseline equals a plus b mu subscript xμy=a+bμx sigma squared subscript y baseline equals b squared sigma squared subscript xσ2y=b2σ2x sigma subscript y baseline equals |b| sigma subscript xσy=|b|σx the mean annual salary for employees at a company is $31 comma 00031,000. at the end of the year, each employee receives a $40004000 bonus and a 44% raise (based on salary). what is the new mean annual salary (including the bonus and raise) for the employees?

< back to assignment attempts: 1 1 keep the highest: 1 / 2 2. determining opportunity cost juanita is deciding whether to buy a suit that she wants, as well as where to buy it. three stores carry the same suit, but it is more convenient for juanita to get to some stores than others. for example, she can go to her local store, located 15 minutes away from where she works, and pay a marked-up price of $102 for the suit: store travel time each way price of a suit (minutes) (dollars per suit) local department store 15 102 across town 30 88 neighboring city 60 65 juanita makes $42 an hour at work. she has to take time off work to purchase her suit, so each hour away from work costs her $42 in lost income. assume that returning to work takes juanita the same amount of time as getting to a store and that it takes her 30 minutes to shop. as you answer the following questions, ignore the cost of gasoline and depreciation of her car when traveling. complete the following table by computing the opportunity cost of juanita's time and the total cost of shopping at each location. store opportunity cost of time price of a suit total cost (dollars) (dollars per suit) (dollars) local department store 102 across town 88 neighboring city 65 assume that juanita takes opportunity costs and the price of the suit into consideration when she shops. juanita will minimize the cost of the suit if she buys it from the . grade it now save & continue continue without saving

You were able to purchase two tickets to an upcoming concert for $100 apiece when the concert was first announced three months ago. recently, you saw that stubhub was listing similar seats for $225 apiece. what does it cost you to attend the concert?

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?