Consider the following linear programming (LP) problem Maximize z 2x 1 3x 2 Subject to the following constraints Constraint 1 4x 1 7x 2 115 (or equal) Constraint 2 3x 1 2x 2 70 (or equal) Constraint 3 x 1 , x 2 0 (or equal) Note that x 1 and x 2 represent the decision variables Solve the LP problem What are the values of x 1 and x 2 at the optimal solution What is the maximum value of z Submit your Excel file

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Question: Consider the following linear programming (LP) problem: Maximize z = 2x 1 + 3x 2 Subject to the following constraints: Constraint 1: 4x 1 +

Consider the following linear programming (LP) problem:

Maximize z = 2x₁ + 3x₂

Subject to the following constraints:

Constraint 1: 4x₁ + 7x₂ < 115 (or equal)

Constraint 2: 3x₁ + 2x₂ < 70 (or equal)

Constraint 3: x₁, x₂ > 0 (or equal)

Note that x₁ and x₂ represent the decision variables. Solve the LP problem. What are the values of x₁ and x₂ at the optimal solution. What is the maximum value of z? Submit your Excel file.

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