The Objective of a Linear Programming Problem Is to Maximize

question 26

Essay

The objective of a linear programming problem is to maximize 1.50A + 1.50B, subject to 3A + 2B ≤ 600, 2A + 4B ≤ 600, and 1A + 3B ≤ 420.
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?

---

Definitions:

Excess Equipment

Unused or surplus machinery and tools that exceed the current production needs of a company.

Sales Increase

A rise in the volume or value of products or services sold by a business over a specific period.

Resource Imbalance

A situation where the allocation of resources does not match the needs or demands, leading to inefficiencies or operational challenges.

Lead Indicator

A predictive measure that indicates future trends or outcomes before they visibly manifest, enabling preemptive actions or decisions.