Use the above answer and sensitivity reports to answer the following questions

$($a$)$ What is the optimal solution, and what is the total production cost associated with this solution?

$($b$)$ Which constraints are binding? Explain.

$($c$)$ The production manager noted that the only constraint with a negative shadow price is the constraint on the capacity of the new production line. The manager$$s interpretation of the shadow price was that a one$-$unit increase in the right$-$hand side of this constraint would actually increase the total production cost by $$15$ per unit. Do you agree with this interpretation? Would an increase in capacity for the new production line be desirable? Explain.