The Objective of a Linear Programming Problem Is to Maximize

question 83

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
c.Identify the feasible region and its corner points.Show your work.
d.What is the optimal product mix for this problem?

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Definitions:

Material Quantity Variance

The difference between the actual quantity of materials used in production and the standard quantity expected, multiplied by the standard cost per unit.

Standard Quantity (SQ)

Standard Quantity refers to the amount of materials or inputs that should be used in the production of a good or service under normal efficiency conditions.

Actual Quantity (AQ)

The true or real amount of materials, labor, or overhead used in the production process.

Standard Price (SP)

A predetermined cost that companies expect to pay for materials, labor, and other costs under normal conditions.