# Question

Solve these problems using graphical linear programming and then answer the questions that follow. Use simultaneous equations to determine the optimal values of the decision variables.

a.

b.

(1) What are the optimal values of the decision variables and Z?

(2) Do any constraints have (nonzero) slack? If yes, which one(s) and how much slack does each have?

(3) Do any constraints have (nonzero) surplus? If yes, which one(s) and how much surplus does each have?

(4) Are any constraints redundant? If yes, which one(s)? Explainbriefly.

a.

b.

(1) What are the optimal values of the decision variables and Z?

(2) Do any constraints have (nonzero) slack? If yes, which one(s) and how much slack does each have?

(3) Do any constraints have (nonzero) surplus? If yes, which one(s) and how much surplus does each have?

(4) Are any constraints redundant? If yes, which one(s)? Explainbriefly.

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