Question: For the linear program Max4A + 1B s.t. 10A + 2B 30 3A + 2B 12 2A + 2B 10 A, B

For the linear program

Max4A + 1B

s.t.

10A + 2B ≤ 30

3A + 2B ≤ 12

2A + 2B ≤ 10

A, B ≥ 0

a. Write this problem in standard form.

b. Solve the problem using the graphical solution procedure.

c. What are the values of the three slack variables at the optimal solution?


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