Please answer ONLY part C below and please show the work to support your answer. c) Using the optimal solution given in part (b), which of the three constraints are binding? How much slack or surplus do the non-binding ones have? The first constraint is binding.  2A+4B=39 (2)(15.5)+4(2) ≤ 39  31+8≤ 39            40≤ 39                       2A+B=33 (Please break this constraint down like the first one)  A ≥ 12 (Please break this constraint down like the first one)

1.) Using the following model, answer the questions below.

Max        5A + 10B

1. t. 2A + 4B ≤ 39

              2A + B ≤ 33

              A ≥ 12

              A, B ≥ 0

b) If the optimal solution is A = 15.5 and B = 2, what is the value of the objective function?

The value of objective function is 

Z=5(15.5) +10(2)

=97.5

The value of the objective function is 97.5

Please answer ONLY part C below and please show the work to support your answer.

c) Using the optimal solution given in part (b), which of the three constraints are binding? How much slack or surplus do the non-binding ones have?

The first constraint is binding. 

2A+4B=39

(2)(15.5)+4(2) ≤ 39 

31+8≤ 39           

40≤ 39                    

2A+B=33 (Please break this constraint down like the first one) 

A ≥ 12 (Please break this constraint down like the first one)