An Investment club has set a goal of earning

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An Investment club has set a goal of earning 15% on the money it invests In stocks. The members are considering purchasing three possible stocks, with their cost per share (in dollars) and theirprojected growth per share (In dollars) summarized in the following table. (Let x – computer shares, y = utility shares, and z = retail shares.)StocksComputer (x) Utility (y) Retail (z)Cost/share26Growth/share6.006.002.40Example 3.)(a) If they have $392,000 to invest, how many shares of each stock should they buy to meet their goal? (If there are infinitely many solutions, express your answers in terms of z as in(x, y, z) -((b) If they buy 500 shares of retail stock, how many shares of the other stocks should they buy?computersharesutilitysharesWhat if they buy 1000 shares of retail stock?computersharesutilityshares(c) What is the minimum number of shares of computer stock they should buy?sharesWhat is the number of shares of the other stocks in this case?utilitysharesretail(d) What is the maximum number of shares of computer stock they should purchase?sharesWhat is the number of shares of the other stocks in this case?

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