Given the following LP model,

?Minimize (costs) ?Z = 4X1 + 8X2

?

?Subject to??Fiber?5X1 + 8X2 > 40

??Protein?6X1 + 4X2 > 24

? ??X1, X2 > 0

a.) What is the optimal value of the objective function?

b.) What are the optimal values of the two decision variables?

c.) Find the range of optimality for each objective function coefficient.

d.) How would a decrease of $1 in the X1 coefficient of the objective function affect the optimal values of the decision variables?

e.) How would a decrease of $1 in the X1 coefficient of the objective function affect the optimal value of the objective function?

f.) What is the dual value (AKA