Neco 2021 Mathematics Question 8

Practice essay / theory question 8 from the 2021 Neco Mathematics examination. This question covers Inequalities .

Neco 2021 Mathematics Essay / Theory
Topic: Inequalities
Question 8 NECO • 2021 • MATHEMATICS • essay

A company produces two products, A and B. The profit (in thousands of naira) from producing \(x\) units of A and \(y\) units of B is given by \(P = 5x + 3y\). The following constraints apply: - Each unit of A requires 2 hours of production time and each unit of B requires 3 hours; total production time cannot exceed 40 hours. - Each unit of A uses 4 kg of raw material and each unit of B uses 5 kg; total raw material available is 90 kg. - The company wants the profit to be at least 120 thousand naira. Formulate and analyse the feasible region defined by these constraints.

Question Parts

( a )
Write the system of inequalities that represent the three constraints.
( b )
Determine the coordinates of the vertices of the feasible region defined by the inequalities in part (a). List them in order of increasing \(x\).
( c )
From the vertices found in part (b), state the possible range of values of \(x\) (the number of units of product A) within the feasible region.
( d )
If the company can only produce whole units, list all integer pairs \((x, y)\) that satisfy the constraints and give a profit of at least 120 thousand naira.

Detailed Solution & Marking Scheme

Get the step-by-step solution, key points required by examiners and detailed marking guidance through the Edcrib AI Tutor.

Reveal Answer

About This Question

This is Neco 2021 Mathematics Question 8. It is one of the essay questions from the 2021 Neco Mathematics examination.

The question covers Inequalities .

View More Neco 2021 Mathematics Questions More Neco Practice Questions Back to Questions

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Chat with Support