Waec Model Questions Vol1 2018 Mathematics Question 8

Practice essay / theory question 8 from the 2018 Waec Model Questions Vol1 Mathematics examination. This question covers Inequalities, Quadratic Inequality, Integer Solutions .

Waec Model Questions Vol1 2018 Mathematics Essay / Theory
Topics: Inequalities Quadratic Inequality Integer Solutions
Question 8 WAEC_MODEL_QUESTIONS_VOL1 • 2018 • MATHEMATICS • essay

A manufacturing company produces widgets. The cost (in Naira) of producing each widget when n widgets are made per day is given by the formula C = 3000/n + n.

Question Parts

( a )
Write the inequality that expresses the requirement that the cost per widget does not exceed 150 Naira.
( b )
Transform the inequality in part (a) into a quadratic inequality in n (assume n > 0).
( c )
Solve the quadratic inequality obtained in part (b) and give the interval of real values of n that satisfy it.
( d )
If the production must be an integer number of widgets and at least 20 widgets per day, list all feasible values of n that satisfy the cost requirement.

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About This Question

This is Waec Model Questions Vol1 2018 Mathematics Question 8. It is one of the essay questions from the 2018 Waec Model Questions Vol1 Mathematics examination.

The question covers Inequalities, Quadratic Inequality, Integer Solutions .

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