XYZ is an investment firm that manages stock portfolios for a number of clients. 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

Company 1 $320 $9 Company 2 $250 $4

Let

x = number of shares of company 1 y= number of shares of company 2

1- Develop the objective function, assuming that the client desires to maximize the total annual return.

2- Show the mathematical expression for the following constraint:

Total investment funds available are $900,000.

At least 100 shares of company 1 must be purchased.