Waec Model Questions Vol1 2022 Mathematics Question 3

Practice essay / theory question 3 from the 2022 Waec Model Questions Vol1 Mathematics examination. This question covers Linear Programming, Profit Maximization .

Waec Model Questions Vol1 2022 Mathematics Essay / Theory
Topics: Linear Programming Profit Maximization
Question 3 WAEC_MODEL_QUESTIONS_VOL1 • 2022 • MATHEMATICS • essay

A company produces two types of products, A and B. The production of product A requires 2 hours of labor and 3 kg of raw materials, while product B requires 1 hour of labor and 2 kg of raw materials. The company has a total of 40 hours of labor and 60 kg of raw materials available. If the profit from product A is ₦150 per unit and from product B is ₦100 per unit, determine the number of each product the company should produce to maximize profit. Additionally, express the constraints and the objective function mathematically.

Question Parts

( a )
Formulate the objective function and the constraints based on the given information.
( b )
Graph the feasible region defined by the constraints. Clearly label the axes and the lines representing each constraint.
( c )
Determine the optimal solution by evaluating the profit at each vertex of the feasible region.

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About This Question

This is Waec Model Questions Vol1 2022 Mathematics Question 3. It is one of the essay questions from the 2022 Waec Model Questions Vol1 Mathematics examination.

The question covers Linear Programming, Profit Maximization .

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