A company produces two products, A and B. The production con...

Question

A company produces two products, A and B. The production constraints are given by the system of inequalities: and . Here, represents the number of units of product A, and represents the number of units of product B. What is the maximum number of units of product B that can be produced if the company produces exactly 50 units of product A? ________.

Question Analysis
This question tests the student's ability to apply a system of inequalities to a real-world scenario and solve for a specific value.

Key Concept Explanation
In real-world applications, systems of inequalities often represent constraints on resources or production limits. The solution to the system is the feasible region where all constraints are satisfied.

Step-by-step Solution
1. Substitute into the first inequality:
2. Solve for

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