mic) Problem 14-02 (Algorithmic) DJS Investment Services must develop an investment portfolio for a new dient. As an initial Investment strategy, the new dient would like to restrict the portfolio mix of two stocks: mic) Estimated Annual Return (46) Price/Share Stock AGA Products Key Oil S SO 100 The dient wants to invest $40,000 and established the following two investment goals: Priority Level 1 Goal Goal 1: Obtain an annual return of at least 9% Priority Level 2 Goal Goal 2: Limit the investment in Key Oil, the risker investment, to no more than 60% of the total investment. a. Formulate a goal programming model for the DJS Investment problem. If you don't need the variable in the model, enter "o". If you need a negative number, minus sign with it. X1 number of shares of AGA Products purchased xy number of shares of Key Oil purchased di = the amount by which the annual return for the portfolio is greater than the target value dj - the amount by which the annual return for the portfolio is less than the target value dy the amount by which the portfolio risk index exceeds the target value of the total investment dy the amount by which the portfolio risk index is less than the target value of the total investment Min Pildi Poldt || MOPicn O pald) T ≤ + + d2+ + X, X), dr. dj. dz. dy' ≥ 0 Funds available P. Goal P2 Goal b. Choose the correct graph that solves the model formulated in part (a). Number of shares of Key Oil purchased Number of shares of Key Oil purchased (200 000 (200, 300) P2 Goal P2 Goal Funds available available PL Goal P1 Goal 2000 1000 1000 Number of shares of Key Oil purchased Number of shares of Key Oil purchased (200, 300) (200, 300) P2 Goal P2 Goal Funds available available PI Goal PI Goal 2000 1000 Number of shares of AGA Products purchased 1000 Number of shares of AGA Products purchased Purch po