Given this linear programming model:
Max Z = 10x + 16y (profit)
s.t.
(1) 2x + 5y < 30
(2) x + y < 12
(3) 3x + 2y < 36
(4) x, y > 0
(a) Explain what information is presented in this model.
(b) If they sell 4 of x and 5 of y, what is their total profit?
(c) Determine the optimal solution and maximum profit.
(d) Someone said that if they added 2 units in the first constraint, then they could improve the objective function value by 5. What are your thoughts regarding this comment?