Solve the given linear programming problem using the table method. Maximize subject to P = 7x1 + 6x2 3x1 + x2 ≤21 x1 + x2 ≤ 10 X1 + 2x2 ≤ 12 X1, X2 ≥0 Max P = 66 at x1 = 6, x2 = 4 Max P = 68 at x1 = 8, x2 = 2 Max P = 60 at x1 = 6, x2 = 3 Max P =65.5 at x1 = 5.5, x2 = 4.5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve the given linear programming problem using the table method.
Maximize
P = 7x1 + 6x2
subject to
3x1 + x2 ≤ 21
x1 + x2 ≤ 10
X1 + 2x2 ≤ 12
X1, X2 ≥0
Max P = 66 at x1 = 6, x2 = 4
Max P = 68 at x1 = 8, x2 = 2
Max P = 60 at x1 = 6, x2 = 3
==
Max P =65.5 at x1 = 5.5, x2 = 4.5
Transcribed Image Text:Solve the given linear programming problem using the table method. Maximize P = 7x1 + 6x2 subject to 3x1 + x2 ≤ 21 x1 + x2 ≤ 10 X1 + 2x2 ≤ 12 X1, X2 ≥0 Max P = 66 at x1 = 6, x2 = 4 Max P = 68 at x1 = 8, x2 = 2 Max P = 60 at x1 = 6, x2 = 3 == Max P =65.5 at x1 = 5.5, x2 = 4.5
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