The management of gibraltar brokerage services anticipates a capital expenditure of $23,000 in 3 years for the purchase of new computers and has decided to set up a sinking fund to finance this purchase.
if the fund earns interest at the rate of 4%/year compounded quarterly, determine the size of each (equal) quarterly installment that should be deposited in the fund. (round your answer to the nearest cent.)

Suppose a firm faces a fixed price of output, 푝푝= 1200. the firm hires workers from a union at a daily wage, 푤푤, to produce output according to the production function 푞푞= 2퐸퐸12. there are 225 workers in the union. any union worker who does not work for this firm is guaranteed to find nonunion employment at a wage of $96 per day. a.what is the firm’s labor demand function? b.if the firm is allowed to choose 푤푤, but then the union decides how many workers to provide (up to 225) at that wage, what wage will the firm set? how many workers will the union provide? what is the firm’s output and profit? what is the total income of the 225 union workers? c.now suppose that the union sets the wage, but the firm decides how many workers to hire at that wage (up to 225). what wage will the union set to maximize the total income of all 225 workers? how many workers will the firm hire? what is the firm’s output and profit? what is the total income of the 225 union workers? [hint: to maximize total income of union, take the first order condition with respect to w and set equal to 0.]

Define the marginal rate of substitution between two goods (x and y). if a consumer’s preferences are given by u(x,y) = x3/4y1/4, compute the consumer’s marginal rate of substitution as a function of x and y. calculate the mrs if the consumer has chosen to consumer 48 units of x and 16 units of y. show your work. (use the back of the page if necessary.

Qwest airlines has implemented a program to recycle all plastic drink cups used on their aircraft. their goal is to generate $7 million by the end of the recycle program's five-year life. each recycled cup can be sold for $0.005 (1/2 cent). a. how many cups must be recycled annually to meet this goal? assume uniform annual plastic cup usage and a 0% interest rate. b. repeat part (a) when the annual interest rate is 12%. c. why is the answer to part (b) less than the answer to part (a)?