For the linear program:
Min 3A + B
s.t.
4A + B ≤ 20 Constraint “1”
A + 2B ≥ 7 Constraint “2”
2.5A + 3B ≤ 30 Constraint “3”
−3A + B ≤ 0 Constraint “4”
A, B ≥ 0
Should be done manually (must show hand work).
a. Making “A” as the horizontal variable, graph the problem neatly. Show the feasible region. Label constraints on graphs.
b. Solve the problem. Show work. What is the optimal “A” and “B” values? What is the optimal objective function value?