1) Solve the following linear programming problems by sketching the region, labeling the vertices, and finding the solution. x+2y2 40 x + y 2 30 (xN0, y > 0 (3x +y < 60 b) Maximize: P = 9x + 20y; Subject to x+ 2y < 30 (x > 0, y > 0 a) Minimize: C = 2x +7y; Subject to %3D

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1) Solve the following linear programming problems by sketching the
region, labeling the vertices, and finding the solution.
x+2y > 40
x +y > 30
x 0, y 2 0
(3x +y < 60
a) Minimize: C = 2x + 7y; Subject to
b) Maximize: P = 9x + 20y; Subject to x + 2y < 30
x 0, y 2 0
Transcribed Image Text:1) Solve the following linear programming problems by sketching the region, labeling the vertices, and finding the solution. x+2y > 40 x +y > 30 x 0, y 2 0 (3x +y < 60 a) Minimize: C = 2x + 7y; Subject to b) Maximize: P = 9x + 20y; Subject to x + 2y < 30 x 0, y 2 0
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