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

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.

Z = 1.80S +2.207 Minimize Subject to 200 gr 240 gr 5S + 8T Potassium 15S + 67 Carbohydrate 180 gr 10 gr 4S + 127 T. Prot


b.

Minimize Subject to Z = 1.80S +2.20T Potassium Carbohydrate Protein T 5S

(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.

Minimize Subject to Z = 1.80S +2.20T Potassium Carbohydrate Protein T 5S + ST 15S 4S + 12T 6T T S.T AI AI AI AI AI 200 gr 240 gr 180 gr 10 gr 0

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a Graph the constraints and the objective function Potassium constraint 5 S 8 T 200 Replace the inequality sign with an equal sign 5 S 8 T 200 Set S 0 and solve for T 50 8 T 200 8 T 200 T 25 One point ... View full answer

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