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Analyzing Data Using Goal Seek and Solver 37<br />

FIGURE 37.15<br />

This worksheet is set up to maximize a credit union’s investments, given some constraints.<br />

n<br />

Unsecured loans should make up no more than 25 percent of the portfolio. This constraint is represented<br />

as:<br />

E8=.10<br />

n The total amount invested is $5,000,000.<br />

n All investments should be positive or zero. In other words, the problem requires five additional<br />

constraints to ensure that none of the changing cells goes below zero.<br />

The changing cells are C5:C9, and the goal is to maximize the total yield in cell D12. Starting values of<br />

1,000,000 have been entered in the changing cells. When you run Solver with these parameters, it produces<br />

the solution shown in Figure 37.16, which has a total yield of 8.59 percent.<br />

However, a total yield of 8.59 percent is not the optimal solution. If you select the Use Automatic Scaling<br />

option (in the Solver Options dialog box), Solver will arrive at a solution that has a total yield of 9.25 percent.<br />

This demonstrates that you can’t always trust Solver to arrive at the optimal solution with one try, even<br />

when the Solver Results dialog box tells you that All constraints and optimality conditions are satisfied. The best<br />

advice? Make sure that you understand Solver well before you entrust it with helping you make major decisions.<br />

Try different starting values and adjust the options to see whether Solver can do better.<br />

665

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