Consider the following LP problem.
Maximize z=3x₁+2x₂
subject to
Constraint 1: 2x₁ + 3x₂ ≤ 40,
Constraint 2: 3x₁ + x₂ ≤ 30,
Constraint 3: x₁, x₂ ≥ 20,
where x₁ and x₂ represent the decision variables. Solve the LP problem to answer the following questions.
What are the values of x, and x₂ at the optimal solution?
What is the maximum value of z?
