An investment club has set a goal of earning 15% on the money they invest in stocks. The members are considering purchasing three possible stocks, with their cost per share (in dollars) and their projected growth per share (in dollars) summarized in the table. (Let x = computer shares, y = utility shares, and z = retail shares.)

Stocks

Computer (x) Utility (y) Retail (z)

Cost/share 30 44 26

Growth/share 6.00 6.00 2.40

(a) If they have $392,000 to invest, how many shares of each stock should they buy to meet their goal?

(b) If they buy 700 shares of retail stock, how many shares of the other stocks do they buy? What if they buy 1400 shares of retail stock?

(c) What is the minimum number of shares of computer stock they will buy? What is the number of shares of the other stocks in this case?

(d) What is the maximum number of shares of computer stock purchased? What is the number of shares of the other stocks in this case?