maximizesubject to- 4x1 + 1₂-₁ + x₂ ≤ 2,21-2₂ ≤ 4,x1 + x₂ ≥7,I1, I2 20 For each of the following linear programs:(1) Sketch the feasible region of the linear program and the direction of the objec-tive function.(2) Use you sketch to find an optimal solution to the program. State the optimalsolution and give the objective value for this solution. If an optimal solutiondoes not exist, state why.

Consider the given linear programming problem.maximize .Subject to:We need to draw the feasible…

Answered: For each of the following linear…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Solve the linear programming problem: maximize: x1 - x3 subject to: x1 1 0 x2 X3 [2 1 1 2 -1 2 and a > 0. You may use information from Question 4. X4 = 42 2
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State the linear programming problem in mathematical terms, identifying the objective function and the constraints.A firm makes products A and B. Product A takes 3 hours each on machine L and machine M; product B takes 3 hours on L and 2 hours on M. Machine L can be used for 13 hours and M for 8 hours. Profit on product A is $7 and $10 on B. Maximize profit.
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Use the simplex method to solve the linear programming problem. Maximize: z = 2x₁ + x2 subject to: x₁ + 4x₂ ≤ 12 2x₁ + 6x₂ ≤ 4 X₁ + 2x2 ≤ 4 with x₁ ≥ 0, x₂ ≥ 0. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The maximum is when x₁ = x₂ = , S₁ = S2 = and S3 = B. There is no maximum solution to this linear programming problem.

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