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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Basic Technical Mathematics

ISBN: 9780137529896

12th Edition

Authors: Allyn J. Washington, Richard Evans

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