Varma 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.

The client wants to invest $$46,000$ and established the following two investment goals.

Priority Level $1$ Goal

Soal $1$: 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.

Funds Available

$P_1$ Goal

$P_2$ Goal

$x_i,d_{ni},d_{}0$ for $i=1,2$

$($b$)$ Use the graphical goal programming procedure to obtain a solution.

$\{$:$(x_1,x_2)=1,)$