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LP Model - Identify and Explain Optimal Solution

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Given the following linear programming model, identify the optimal solution.

Maximize Z = $18x1 + $14x2

Subject to:

4x1 + 2x2 < or = 80

2x1 + 6x2 < or = 60

x1, x2 = 0

a) No Solution

b) x1 = 5, x2 = 6, Z = 174

c) x1 = 30, x2 = 1, Z = 554

d) x1 = 15, x2 = 5, Z = 340

e) x1 = 18, x2 = 4, Z =380

f) None of the above

A) What is Optimal solution? Using Linear Programming or any other methods (Optional)

B) Explain in Detail... What does it mean "Optimal Solution"?

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A complete, neat, step-by-step solution is provided in the attached file with regards to identifying and explaining the optimal solution.

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