Example 5

EXAMPLE 5 Finding the Optimal Production Policy

Our analysis of the clothing manufacturer problem resulted in a feasible region with three corner points: (0, 0), (0, 30), and (20, 0). Which of these maximizes the profit formula, , and what does that corner represent in terms of how many shirts and vests to manufacture?

The evaluation of the profit formula at the corner points is shown in Table 4.2. The maximum profit of $100 occurs at the corner point (20, 0), which represents making 20 shirts and no vests.

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Table 4.2: TABLE 4.2 Evaluating the Profit Formula in the Clothing Example

Corner Point	Value of the Profit Formula:
(0, 0)
(0, 30)
(20, 0)