. Solve the following linear program graphically: Maximize P = - 4X1 + 3X2 Subject to 6X1 + 3X2 < 24 ---------- (1) (resource A) 5X1 + 2X2 > 10 ---------- (2) (limitation B) 3X1 + 5X2 < 15 ---------- (3) (resource C) Where X1, X2 > 0

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section7.7: Portfolio Optimization Models
Problem 41P
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. Solve the following linear program graphically:
Maximize P = - 4X1 + 3X2
Subject to 6X1 + 3X2 < 24 ---------- (1) (resource A)
5X1 + 2X2 > 10 ---------- (2) (limitation B)
3X1 + 5X2 < 15 ---------- (3) (resource C)
Where X1, X2 > 0

Solve the following linear program graphically:
Maximize P = 4X1 + 6X2
Subject to X1+ X2 < 6 ---------- (1) (labor)
3X1 + 2X2 < 15 --------- (2) (machine time)
X1 < 4 ---------- (3) (finishing time)
X2 < 5 ---------- (4) (assembly time)
Where X1, X2 > 0


5. Christy Crafty Boat Supplies has 250 yards of canvas to make sails and deck covers.
There are 205 hours of labor available. The following data apply:
Profit Canvas Labor
Sail $50 35 yards 10 hours
Deck Cover $65 10 yards 15 hours
How many of each should be made to maximize profit?

 

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