Find the maximum value of the objective function z = 16x + 26y, subject to the following constraints. (See Example 2.) −x  +  2y ≤ 108 2x  +  8y  ≤  108 6x  +  2y ≤ 126   x≥ 0, y≥ 0 The maximum value is z = at (x, y) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the maximum value of the objective function

z = 16x + 26y,

subject to the following constraints. (See Example 2.)

−x  +  2y 108
2x  +  8y  ≤  108
6x  +  2y 126
  x≥ 0, y≥ 0

The maximum value is z = at

(x, y) =
 
 
 
 
 

.

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