Optimal solution:

The LP for the Dakota problem is given as:

Maximize z= 60x₁+30x₂+20x₃

Such that,

8x₁+6x₂+x₃ ≤ 48 Lumber constraint

4x₁+2x₂+1.5x₃ ≤ 20 Finishing constraint

2x₁+1.5x₂+0.5x₃ ≤ 8 Carpentry constraint

x₁,x₂,x₃ ≥ 0 Non-negativity constraint

Now it is known that the concept based on the theory of Linear Programming suggests that for an LP with n decision variables to be degenerate, n+1 or moreof the LP’s constraints must be binding at extreme point...

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Chapter 4, Problem 9RP

Chapter 4, Problem 12RP

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Introduction to mathematical programming

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Solution Summary: The author explains that the LP for the Dakota problem is given as: Maximize z = 60x 1 +30x 2 +20x 3 48 Lumber constraint = 4

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