5A company produces two products, A and B, using machine hours and labor hours. Each unit of Product A requires 3 machine hours and 2 labor hours, while each unit of Product B requires 2 machine hours and 4 labor hours. The company has 180 machine hours and 240 labor hours available per day. If the profit per unit is $10 for Product A and $15 for Product B, how many units of Product B should be produced to maximize profit?

Mon, 04 May 2026 08:23:09 +0000

**5A Company’s Product Mix: How to Maximize Profit from Machine and Labor Hours** With rising focus on efficient manufacturing and smart resource allocation, many businesses are evaluating how to balance production across products to boost profit. 5A Company exemplifies this challenge by managing two distinct products—A and B—within strict daily limits of machine and labor hours. This scenario reflects a growing trend among U.S. manufacturers aiming to optimize output without overextending capacity. The core of 5A’s production puzzle lies in two clear constraints: 180 machine hours and 240 labor hours each day. Each unit of Product A demands 3 machine hours and 2 labor hours, while Product B uses 2 machine hours and 4 labor hours. With a $10 profit per unit for A and $15 for B, the real question becomes: which mix delivers the highest profit? **Why this Matters in Today’s Market**
Manufacturing efficiency is no longer optional—it’s essential for competitiveness. As supply chain dynamics shift and labor costs remain tight, companies are increasingly analyzing how to balance labor and machine usage across product lines. For US-based manufacturers, understanding these resource constraints helps align operations with real-world limitations while pursuing profit growth. This type of problem isn’t just theoretical—it’s reshaping daily decisions for operations teams across industries.