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# Solve these problems using graphical linear programming and then answer the questions that follow. Use simultaneous equations to determine the...

- 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.

Minimize

Subject to

Potassium

Carbohydrate

Protein

T

Minimize

Subject to

D

E

F

- What are the optimal values of the decision variables and Z?
- Do any constraints have (nonzero) slack? If yes, which one(s) and how much slack does each have?
- Do any constraints have (nonzero) surplus? If yes, which one(s) and how much surplus does each have?
- Are any constraints redundant? If yes, which one(s)? Explain briefly.