The Objective of a Linear Programming Problem Is to Maximize

question 59

Essay

The objective of a linear programming problem is to maximize 1.50A + 1.50B, subject to 3A + 2B ≤ 600, 2A + 4B ≤ 600, 1A + 3B ≤ 420, and A,B ≥ 0.
(a) Plot the constraints on the grid below.
(b) Identify the feasible region and its corner points. Show your work.
(c) What is the optimal product mix for this problem?

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