1. 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:

Let x = number of shares of Oil Alaska

y = number of shares of Southwest Petroleum

Stock	Price per share	Estimated Annual return per Share
Oil Alaska	$65	$8.5
Southwest Petroleum	$45	$4.0

1. Develop the objective function, assuming that the client desires to maximize the total annual return. (2 marks)
2. Show the mathematical expression for each of the following three constraints: 1.Total investment funds available are $750,000. 2.Maximum Oil Alaska investment is $600,000. 3.Maximum Southwest Petroleum investment is $550,000. c.
3. Could either of x or y be negative? Why? What mathematical expression(s) would guarantee that?