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

Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Eugene F. Brigham, Phillip R. Daves
Chapter18: Initial Public Offerings, Investment Banking, And Capital Formation
Section: Chapter Questions
Problem 9MC
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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.)
(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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