1. 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?