Solve the linear programming problem. (If there is no solution, enter NO SOLUTION.) Maximize z = 4x + y Subject to   x + y ≤ 52   3x + y ≤ 90   y ≥ 12   x, y ≥ 0 The maximum value of z is ___ at (x, y) = ( __  , __  ).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Solve the linear programming problem. (If there is no solution, enter NO SOLUTION.)

Maximize z = 4x + y
Subject to   x + y ≤ 52
  3x + y ≤ 90
  y ≥ 12
  xy ≥ 0

The maximum value of z is ___ at
(xy) = ( __  , __  ).

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