Neco 2018 Mathematics Question 8

Practice essay / theory question 8 from the 2018 Neco Mathematics examination. This question covers Inequalities .

Neco 2018 Mathematics Essay / Theory
Topic: Inequalities
Question 8 NECO • 2018 • MATHEMATICS • essay

The profit (in thousand naira) from producing \(x\) thousand units of a widget is given by \(P = -2x^{2} + 12x - 5\). The company requires the profit to be at least \(7\) thousand naira.

Question Parts

( a )
Solve the inequality \(-2x^{2} + 12x - 5 \ge 7\) for \(x\).
( b )
Express the range of \(x\) (in thousand units) that satisfies the profit requirement as an inequality.
( c )
If the company can only produce whole thousand‑unit batches, list all integer values of \(x\) that meet the requirement.
( d )
The production cost is \(\text{₦}1500\) per thousand units. Determine the minimum total cost (in naira) corresponding to the feasible production levels found in part (c).

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 2018 Mathematics Question 8. It is one of the essay questions from the 2018 Neco Mathematics examination.

The question covers Inequalities .

View More Neco 2018 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