In Example 2, change the last constraint to 3y x 4. Then graph the feasible
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In Example 2, change the last constraint to 3y − x ≤ 4. Then graph the feasible points and find the maximum and minimum values of F.
Data from Example 2
Find the maximum and minimum values of the objective function F = 3x + y, subject to the constraints
The constraints are graphed as shown in Fig. 17.45. We then locate the vertices, and evaluate F at these vertices as follows.
Therefore, we see that the maximum value of F is 24, and the minimum value of F is 6. If we check the value of F at any other feasible point, we will find a value between 6 and 24.
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Related Book For
Basic Technical Mathematics
ISBN: 9780137529896
12th Edition
Authors: Allyn J. Washington, Richard Evans
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