Write the optimal values of the decision variables, Operation Management

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Write the optimal values of the decision variables

Problem:

Solve the problem using graphical linear programming and answer the questions that follow.

Maximize Z= 2x + 10y

Subject to

Durability 10x + 4y >= 40 wk

Strength 1x + 6y >= 24psi

Time 1x + 2y <= 14 hr

x,y >= 0

Required:

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

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

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

Question 4) Are any constraints redundant? If yes, which one(s)? Explain briefly.

Provide correct solution of the given problem with step by step calculations.

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Operation Management: Write the optimal values of the decision variables

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