Financial Analysts, Inc., is an investment firm that manages stock portfolios for a number of clients. A new client has requested that the firm handle an $800,000 portfolio. As an initial investment strategy, the client would like to restrict the portfolio to a mix of the following two stocks: Stock Price/ Share Estimated Annual Return/Share
Oil Alaska $50 $30
South west petroleum $6 $4
Let x = number of shares of oil Alaska
y= number of shares of Southwest Petroleum
a. Develop the objective function, assuming that the client desires to maximize the total annual return.
b. Show the mathematical expression for each of the following three constraints:
(1) Total investment funds available are $800,000
(2) Maximum Oil Alaska investment is $500,000
(3) Maximum Southwest Petroleum investment is $450,000
Note: Adding the. 0 and y 0 constraints provides a linear programming model for the investment problem.