Question

Consider the following linear program.

Max 1A − 2B s.t. −4A + 3B ≤ 3 1A − 1B ≤ 4 A, B ≥ 0 Find the optimal solution

Answer 1

To find the optimal solution of the given linear program, apply the Simplex Method by converting the inequality constraints into equations and constructing the initial simplex tableau.

Step-by-step explanation:

To find the optimal solution of the given linear program, we need to apply the Simplex Method. First, convert the inequality constraints into equations:

-4A + 3B + S1 = 3

1A - 1B + S2 = 4

Next, introduce slack variables S1 and S2 to convert the inequality constraints into equations. Construct the initial simplex tableau and proceed with the Simplex Method to find the optimal solution.