Min Z=4x1+x2 s.t. 3x1+6x2>=15 8x1+2x2>=12 x1, x2>=0 Solve graphically and using the simplex method. What type of special case is this problem? Explain? 3. Transform the following linear programming model into proper form Min Z=40x1+55x2+30x3 s.t. x1+2x2+3x3 <=60 2x1+x2+x3 = 40 x1+3x2+x3>=50 5x2+x3>=100 x1, x2, x3>=0

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 31E
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Please help me first one graphically and the other in matrix 

Min Z=4x1+x2
s.t.
3x1+6x2>=15
8x1+2x2>=12
x1, x2>=0
Solve graphically and using the simplex method.
What type of special case is this problem? Explain?
3. Transform the following linear programming model into proper form
Min Z=40x1+55x2+30x3
s.t.
x1+2x2+3x3 <=60
2x1+x2+x3 = 40
x1+3x2+x3>=50
5x2+x3>=100
x1, x2, x3>=0
Transcribed Image Text:Min Z=4x1+x2 s.t. 3x1+6x2>=15 8x1+2x2>=12 x1, x2>=0 Solve graphically and using the simplex method. What type of special case is this problem? Explain? 3. Transform the following linear programming model into proper form Min Z=40x1+55x2+30x3 s.t. x1+2x2+3x3 <=60 2x1+x2+x3 = 40 x1+3x2+x3>=50 5x2+x3>=100 x1, x2, x3>=0
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