Consider the LP problem: Maximize z = 2x1+3x2 subject to 2x1+x2 < 4, x1+2x2 < 5, x1, x2 > 0. 1. Graph the feasible region for the above LP problem and solve it. 2. Convert to the canonical form and find the basic feasible solutions. 3. What do the solutions to above suggest?

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Consider the LP problem: Maximize z = 2x1+3x2 subject to 2x1+x2 < 4, x1+2.x2 < 5, x1, x2 > 0.
1. Graph the feasible region for the above LP problem and solve it.
2. Convert to the canonical form and find the basic feasible solutions.
3. What do the solutions to above suggest?
Transcribed Image Text:Consider the LP problem: Maximize z = 2x1+3x2 subject to 2x1+x2 < 4, x1+2.x2 < 5, x1, x2 > 0. 1. Graph the feasible region for the above LP problem and solve it. 2. Convert to the canonical form and find the basic feasible solutions. 3. What do the solutions to above suggest?
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Step 1

1. Given Lp is,

Max z=2x1+3x2Subject to,2x1+x24x1+2x25x1,x20

 

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