The computer solution is shown in Figure $3\mathrm{.}18.$

a$.$ What is the optimal solution and what is the optimal value of the objective function?

b$.$ Which constraints are binding?

c$.$ What are the dual values? Interpret each.

d$.$ If you could change the right$-$hand side of one constraint by one unit, which one

would you choose? Why?

Refer to the computer solution to Problem $14$ in Figure $3\mathrm{.}18.$

a$.$ Interpret the ranges of optimality for the objective function coefficients.

b$.$ Suppose that the manufacturing cost increases to $$11\mathrm{.}20$ per case for model $A.$ What

is the new optimal solution?

c$.$ Suppose that the manufacturing cost increases to $$11\mathrm{.}20$ per case for model A and the

manufacturing cost for model B decreases to $$5$ per unit. Would the optimal solution

change?