Daisy received a tape recorder as a birthday gift and is not able to return it. Her utility function is U(x, y, z) = x + z 1/2 f(y), where z is the number of tapes she buys, y is the number of tape recorders she has, and x is the amount of money she has left to spend. f(y) = 0 if y < 1 and f(y) = 24 if y is 1 or greater. The price of tapes is $4 and she can easily afford to buy dozens of tapes. How many tapes will she buy?a. 18 b. 14 C 16 d. 20

What is a sort of auction for stocks in which traders verbally submit their offers?

After graduation, you plan to work for dynamo corporation for 12 years and then start your own business. you expect to save and deposit $7,500 a year for the first 6 years (t = 1 through t = 6) and $15,000 annually for the following 6 years (t = 7 through t = 12). the first deposit will be made a year from today. in addition, your grandfather just gave you a $32,500 graduation gift which you will deposit immediately (t = 0). if the account earns 9% compounded annually, how much will you have when you start your business 12 years from now?

Aproject currently generates sales of $14 million, variable costs equal 50% of sales, and fixed costs are $2.8 million. the firm’s tax rate is 40%. assume all sales and expenses are cash items. (a). what are the effects on cash flow, if sales increase from $14 million to $15.4 million? (input the amount as positive value. enter your answer in dollars not in (b) what are the effects on cash flow, if variable costs increase to 60% of sales? (input the amount as positive value. enter your answers in dollars not in millions). cash flow (increase or decrease) by $