5. Consider the following linear programming problem Maximize: P=12x1 +10x2 subject to: 5x1 + 3x2 <15 X1 +x2 < 4 X 2 0.x2 2 0

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Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 32E
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5. Consider the following linear programming problem:
Maximize: P =12x1 +10x2
subject to: 5x1 +3x2 <15
X1 +x2 <4
x 2 0,x2 20
Transcribed Image Text:5. Consider the following linear programming problem: Maximize: P =12x1 +10x2 subject to: 5x1 +3x2 <15 X1 +x2 <4 x 2 0,x2 20
d) Using slack variables, convert the system of inequalities into a system of
equations.
e) Fill in the following table:
Is point in
Feasible
Intersection
Basic Solutions
Point
(from part c)
Region?
X1
X2
S1
S2
15
4
(0, 0)
Yes
f) Find the maximum value of P (evaluate P only at points that are in the feasible
region).
Transcribed Image Text:d) Using slack variables, convert the system of inequalities into a system of equations. e) Fill in the following table: Is point in Feasible Intersection Basic Solutions Point (from part c) Region? X1 X2 S1 S2 15 4 (0, 0) Yes f) Find the maximum value of P (evaluate P only at points that are in the feasible region).
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