Question: Solve the following LP problem first graphically and then by the simplex algorithm: Maximize profit = 4X1 + 5X2 Subject to X1 + 2X2

Solve the following LP problem first graphically and then by the simplex algorithm:
Maximize profit = 4X1 + 5X2
Subject to X1 + 2X2 ≥ 80
3X1 + X2 ≥ 75
X1, X2 ≥ 0
What are the values of the basic variables at each iteration? Which are the nonbasic variables at each iteration?

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