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. (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? (If there are infinitely many solutions, express your answers in terms of z as in Example 3.) (x, y, z) = (b) If they buy 1500 shares of retail stock, how many shares of the other stocks should they buy? computer shares utility shares What if they buy 3000 shares of retail stock? computer shares utility shares (c) What is the minimum number of shares of computer stock they should buy? shares What is the number of shares of the other stocks in this case? utility shares retail shares (d) What is the maximum number of shares of computer stock they should purchase? shares What is the number of shares of the other stocks in this case? utility shares retail shares
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. (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? (If there are infinitely many solutions, express your answers in terms of z as in Example 3.) (x, y, z) = (b) If they buy 1500 shares of retail stock, how many shares of the other stocks should they buy? computer shares utility shares What if they buy 3000 shares of retail stock? computer shares utility shares (c) What is the minimum number of shares of computer stock they should buy? shares What is the number of shares of the other stocks in this case? utility shares retail shares (d) What is the maximum number of shares of computer stock they should purchase? shares What is the number of shares of the other stocks in this case? utility shares retail shares
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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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. (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? (If there are infinitely many solutions, express your answers in terms of z as in Example 3.)
(b) If they buy 1500 shares of retail stock, how many shares of the other stocks should they buy?
What if they buy 3000 shares of retail stock?
(c) What is the minimum number of shares of computer stock they should buy?
shares
What is the number of shares of the other stocks in this case?
(d) What is the maximum number of shares of computer stock they should purchase?
shares
What is the number of shares of the other stocks in this case?
(x, y, z) =
(b) If they buy 1500 shares of retail stock, how many shares of the other stocks should they buy?
| computer | shares |
| utility | shares |
What if they buy 3000 shares of retail stock?
| computer | shares |
| utility | shares |
(c) What is the minimum number of shares of computer stock they should buy?
shares
What is the number of shares of the other stocks in this case?
| utility | shares |
| retail | shares |
(d) What is the maximum number of shares of computer stock they should purchase?
shares
What is the number of shares of the other stocks in this case?
| utility | shares |
| retail | shares |
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