Waec Model Questions Vol1 2025 Mathematics Question 5

A small company produces two types of products: A and B. The company has a budget of ₦500,000 for production costs. The cost to produce one unit of product A is ₦10,000, while the cost to produce one unit of product B is ₦15,000. The company aims to produce at least 30 units of product A and at least 20 units of product B. Additionally, the company wants to maximize its total production output. (a) Formulate a system of inequalities to represent the constraints of this problem. (b) Determine the feasible region for the production of products A and B using a graphical method. (c) Identify the coordinates of the vertices of the feasible region. (d) Calculate the maximum number of units of products A and B that can be produced while adhering to the budget and minimum production requirements. Show all your workings.