Suppose that you wish to maximize the sum X1 + X2 subject to the constraints X1≥ 0; X2 ≥ 0; X1 + X2 ≤ 3; 2X1 + X2 ≤ 4 and −2X1 + X2 ≤ 1 (a) Draw and shade the feasible region and show coordinates of corner points. (b) Find numbers X1 and X2 that maximize the sum.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.5: Shortest Path Models
Problem 30P
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QUESTION 1

Suppose that you wish to maximize the sum X1 + X2 subject to the constraints
X1≥ 0; X2 ≥ 0; X1 + X2 ≤ 3; 2X1 + X2 ≤ 4 and −2X1 + X2 ≤ 1

(a) Draw and shade the feasible region and show coordinates of corner points.
(b) Find numbers X1 and X2 that maximize the sum.

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