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Question: Problem 14-02 (Algorithmic) DJS Investment Services must develop an investment portfolio for a ne…

by | Nov 30, 2023 | Posted Questions



Problem 14-02 (Algorithmic)

DJS Investment Services must develop an investment portfolio for
a new client. As an initial investment strategy, the new client
would like to restrict the portfolio to a mix of two stocks:

Estimated Annual
Stock Price/Share Return (%)
AGA Products $ 50 6
Key Oil 100 10

The client 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 riskier investment,
to no more than 60% of the total investment.

Formulate a goal programming model for the DJS Investment
problem. If you don’t need the variable in the model, enter “0”. If
you need a negative number, enter minus sign with it.

Let
x1 = number of shares of AGA Products purchased
x2 = number of shares of Key Oil purchased

Min P1(d1-) + P2(d2+)
s.t.
x1 + x2 Funds available
x1 + x2 + d1+ + d1- = P1 Goal
x1 + x2 + d2+ + d2- = P2 Goal
x1, x2, d1+,
d1-, d2+, d2- ≥ 0

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