Solve the following linear program graphically: Minimize C = - 2X1 + 3X2 Subject to X1 + X2 > 5 ---------- (1) (restriction A) X1 < 8 ---------- (2) (resource B) X2 < 3 ---------- (3) (resource C) 3X1 + 9X2 < 27 ---------- (4) (resource D) Where X1, X2 > 0
Solve the following linear program graphically: Minimize C = - 2X1 + 3X2 Subject to X1 + X2 > 5 ---------- (1) (restriction A) X1 < 8 ---------- (2) (resource B) X2 < 3 ---------- (3) (resource C) 3X1 + 9X2 < 27 ---------- (4) (resource D) Where X1, X2 > 0
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 4AEXP
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Solve the following linear program graphically:
Minimize C = - 2X1 + 3X2
Subject to X1 + X2 > 5 ---------- (1) (restriction A)
X1 < 8 ---------- (2) (resource B)
X2 < 3 ---------- (3) (resource C)
3X1 + 9X2 < 27 ---------- (4) (resource D)
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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