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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 900 shares of retail stock, how many shares of the other stocks should they buy? computer      shares utility      shares What if they buy 1800 shares of retail stock? computer      shares utility      shares (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? utility      shares retail      shares (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? 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 900 shares of retail stock, how many shares of the other stocks should they buy? computer      shares utility      shares What if they buy 1800 shares of retail stock? computer      shares utility      shares (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? utility      shares retail      shares (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? utility      shares retail      shares

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 6EQ: Redo Exercise 5, assuming that the house blend contains 300 grams of Colombian beans, 50 grams of...
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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 900 shares of retail stock, how many shares of the other stocks should they buy?
computer      shares
utility      shares

What if they buy 1800 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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