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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Definitions:

Net Income

The profit a company has left over after all expenses, taxes, and costs have been subtracted from total revenue.

Rent Expense

The cost incurred by a company to utilize property or equipment for business operations, typically recognized in the income statement.

Services Revenue

Income generated from the provision of services to clients or customers, distinct from the sale of goods.

Income Statement

An account that outlines a business's financial transactions, such as earnings, costs, and overall profit, for a defined timeframe.