Given is a LP model.   Max Z = 4 x + 5 y     s.t. x + 3 y ≤ 22   − x + y ≤ 4   y ≤ 6   2 x − 5 y ≤ 0   x ≥ 0, y ≥ 0   Plot all constraint equations on the same graph. Shade the Feasible region. Label the corner points of the Feasible region. Solve for decision variables x and y. Solve for Z.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Given is a LP model.
 

Max
Z = 4 x + 5 y
 
 
s.t.
x + 3 y ≤ 22
 
− x + y ≤ 4
 
y ≤ 6
 
x − 5 y ≤ 0
 
x ≥ 0, y ≥ 0

 

  1. Plot all constraint equations on the same graph.
  2. Shade the Feasible region.
  3. Label the corner points of the Feasible region.
  4. Solve for decision variables x and y.
  5. Solve for Z.
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