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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,

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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 their projected growth per share (in dollars) summarized in the following table (et computer shares, y utility shares, and retail shares) Stocks Computer (x) Utility (v) Retail (2) Cost/share 30 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? (If there are infinitely many solutions, express your answers in terms of as in Example 3.) (*.Y, 2) - ( 2800 +0.62, 7000 22 ) (b) If they buy 1300 shares of retail stock, how many shares of the other stocks should they buy? computer 3580 shares utility 5700 shares What if they buy 2600 shares of retail stock? computer shares 4200 X shares (c) What is the minimum number of shares of computer stock they should buy? 2880 X shares What is the number of shares of the other stocks in this case? utility 2880 X shares reta 2680 X shares (d) What is the maximum number of shares of computer stock they should purchase? 7000 What is the number of shares of the other stocks in this case? 7000 X shares retail x Shares

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