The set of constraints and profit formula for a linear programming problem are 2x + 3y

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The set of constraints and profit formula for a linear programming problem are

2x + 3y ≤ 12

 2x + y ≤ 8
         x ≥ 0

         y ≥ 0

       P = 5x + 3y

(a) Draw the graph of the constraints and determine the vertices of the feasible region.

(b) Use the vertices to determine the maximum and minimum profit.

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Related Book For  book-img-for-question

A Survey of Mathematics with Applications

ISBN: 978-0134112107

10th edition

Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde

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