a) The fundamental theorem of duality which tell us about the existence of a solution to a primal problem.

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Chapter 4.2, Problem 4CQ

To determine

a)

The fundamental theorem of duality which tell us about the existence of a solution to a primal problem.

To determine

b)

The relation between the optimal values of the primal and dual problems.

To determine

c)

The optimal solution to the associated primal problem.

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A company produces three types of solar panels, types A, B and C at a profit of €50 ,€90 and €150 respectively. If X, is the number of type A generators, X, is the number of type B generators and X3 is the number of type C generators sold by the company then from the data in the simplex table below, determine the value of the maximum profit Z. X, X2 X3 S, S2 S3 X3 1 0.1 0.7 0.4 80 X, 1 0.8 0.4 0.3 60 X2 1 0.2 -0.6 0.8 40 P 5.1 3.9 7.6 Answer:

For the simplex tableau, complete parts (a) through (d). a. Determine which variable should be brought into the solution. b. Compute the next tableau. c. Identify the basic feasible solution corresponding to the tableau in part (b). d. Determine if the answer in part (c) is optimal. X₁ 2 2 - 6 X2 X3 4 1 1 0 - 4 0 X4 0 1 0 M ol 0 1 16 14 0

(A) Introduce slack, surplus, and artificial variables and form the modified problem. (B) Write the preliminary simplex tableau for the modified problem and find the initial simplex tableau. (C) Find the optimal solution of the modified problem by applying the simplex method to the initial simplex tableau. (D) Find the optimal solution of the original problem, if it exists. P = 9x, + 5x2 X1 + X2 22 - X, + 4X2 s 12 X1, X2 20 Maximize subject to (A) Introduce slack, surplus, and artificial variables and form the modified problem. Maximize P= 9x, + 5x2 - M X1 + X2 -D+D=2 -X1 + 4x2 += 12 subject to :D2 X1, X2, S1, S2, a, 20

Answer 2

Question

Chapter 4.2, Problem 4CQ

To determine

a)

The fundamental theorem of duality which tell us about the existence of a solution to a primal problem.

To determine

b)

The relation between the optimal values of the primal and dual problems.

To determine

c)

The optimal solution to the associated primal problem.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 4.2, Problem 4CQ

To determine

a)

The fundamental theorem of duality which tell us about the existence of a solution to a primal problem.

To determine

b)

The relation between the optimal values of the primal and dual problems.

To determine

c)

The optimal solution to the associated primal problem.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 4.2, Problem 4CQ

To determine

a)

The fundamental theorem of duality which tell us about the existence of a solution to a primal problem.

To determine

b)

The relation between the optimal values of the primal and dual problems.

To determine

c)

The optimal solution to the associated primal problem.

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 5

Chapter 4.2, Problem 4CQ

To determine

a)

The fundamental theorem of duality which tell us about the existence of a solution to a primal problem.

To determine

b)

The relation between the optimal values of the primal and dual problems.

To determine

c)

The optimal solution to the associated primal problem.

Answer 6

Chapter 4.2, Problem 4CQ

To determine

a)

The fundamental theorem of duality which tell us about the existence of a solution to a primal problem.

Answer 7

Chapter 4.2, Problem 4CQ

To determine

a)

The fundamental theorem of duality which tell us about the existence of a solution to a primal problem.

Answer 8

To determine

b)

The relation between the optimal values of the primal and dual problems.

Answer 9

To determine

b)

The relation between the optimal values of the primal and dual problems.

Answer 10

To determine

c)

The optimal solution to the associated primal problem.

Answer 11

To determine

c)

The optimal solution to the associated primal problem.

Answer 12

Expert Solution & Answer

Answer 13

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Answer 14

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Answer 15

Ch. 4.1 - Give the three characteristics of a standard...Ch. 4.1 - a. When the initial simplex tableau is set up, how...Ch. 4.1 - In the simplex method, how is a pivoted column...Ch. 4.1 - In Exercises 1-6, a write the linear programming...Ch. 4.1 - In Exercises 1-6, a write the linear programming...Ch. 4.1 - In Exercises 1-6, a write the linear programming...Ch. 4.1 - In Exercises 1-6, a write the linear programming...Ch. 4.1 - In Exercises 1-6, a write the linear programming...Ch. 4.1 - Prob. 6E Ch. 4.1 - In Exercises 7-16, determine whether the given...

a) The fundamental theorem of duality which tell us about the existence of a solution to a primal problem.

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a)

The fundamental theorem of duality which tell us about the existence of a solution to a primal problem.

b)

The relation between the optimal values of the primal and dual problems.

c)

The optimal solution to the associated primal problem.

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Chapter 4 Solutions

a) The fundamental theorem of duality which tell us about the existence of a solution to a primal problem.

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a) The fundamental theorem of duality which tell us about the existence of a solution to a primal problem.

b) The relation between the optimal values of the primal and dual problems.

c) The optimal solution to the associated primal problem.

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Chapter 4 Solutions

a)

The fundamental theorem of duality which tell us about the existence of a solution to a primal problem.

b)

The relation between the optimal values of the primal and dual problems.

c)

The optimal solution to the associated primal problem.