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.