3) 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 $55 $7.5 Southwest $5.0 Petroleum $40 Individual problem 1 a. Develop the objective function, assuming that the client desires to maximize the total annual return (6 marks) b. Show the mathematical expression for each of the following three constraints: (9 marks) (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 Could either of x or y be negative? Why? What mathematical expression(s) would guarantee that