KThe initial tableau of a linear programming problem is given. Use the simplex method to solve the problx2X3$3 Z8088- 12X₁24-142-5-2-10S11000$201000100 320560160The maximum is when x₁ = x₂ = x3 = $₁=₁ $₂ = ₁ and $3 = ₁(Type integers or simplified fractions.)

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Answered: K The initial tableau of a 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 using the simplex method. 5x1 +X2 <70 3x1 +2x2 s90 Maximize z= 2x, + 3x2 subject to %3D X1 + X2 5 80 X1, X2 2 0. .... Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The maximum is z = when x1 = , X2 =, s1 = . $2 , and s3 = %3D O B. There is no maximum solution for this linear programming problem.
The initial tableau of a linear programming problem is given. Use the simplex method to solve the problem. X₂ X3 S₁ $3 8 1 8 0 6 - 12 X1 2 4 2 - 14 2 -5 -2 - 10 0 0 $2 0 1 0 0 0 0 1 0 Z 0 0 0 ... 48 56 16 0 The maximum is when x₁ = x₂ = x3 = $₁ = $₂=, and s3 = (Type integers or simplified fractions.) [ 0,
This is the initial tableau of a linear programming problem. Solve by the simplex method. X1 X2 S1 S2 S3 Z 12 1 5 1 0 0 2 5 0 0 6 0 1 2 0 0 1 4 -2 -1 0 0 0 0 when X The maximum is X2 1 S- 9, S2 0, and s
For an optimization problem below, state and explain which of the four assumptions of linear programming is/are not satisfied. max 5x12 s.t. 3r+2r2 ≤ 10 1 + 2x₂-12 23 ₁=nonnegative integer, -35 2₂ 55
Solve it early but correctly
The initial tableau of a linear programming problem is given. Use the simplex method to solve the problem. X2 X3 4 4 2 3 X₁ 1 4 3 -1 $₁ 1 0 0 $2 0 1 0 Z 0 0 1 16 60 The maximum is when x₁ = x₂ = x3 = . $₁=₁ and $2 = | (Type integers or simplified fractions.)
Solve the linear programming problem using the simplex method. Maximize subject to P= 3x₁ + 2x₂ - X3 X₁ + X₂-X3 ≤5 2x₁ +4x2 + 3x3 ≤ 15 X1, X2, X3 20 Use the simplex method to solve the problem. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The maximum value of Pis when X₁ = x₂ = and X3 = (Simplify your answers. Type integers or decimals rounded to the nearest tenth as needed.) OB. There is no optimal solution.
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Maximize: z= 2x, + X2 Use the simplex method to solve the linear programming problem. X1 + 4x2 s 12 2x, + 6x2 s 4 subject to: X1 + X2 s 4 with x, 20, x, 2 0. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The maximum is when x, = X2 S1 S, = and s3 = O B. There is no maximum solution to this linear programming problem.
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Explain important characteristics of situations to which linear programming method can be successfully applied. Assume a suitable example A firm manufactures three products A, B, and Time to manufacture product A is twice that for B and thrice that for C and if the entire labour is engaged in making product A, 1,600 units of this product can be produced. These products are to be produced in the ratio 3:4:5. There is demand for at least 300, 250 and 200 units of products A, B and C and the profit earned per unit is sh. 90, sh. 40 and sh. 30 respectively. Table Raw material Requirement per unit of product (kg) Total availability (kg) A B C P 6 5 2 5,000 Q 4 7 3 6,000 Formulate the problem as a linear programming problem.

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