Neco 2017 Mathematics Question 8

Practice essay / theory question 8 from the 2017 Neco Mathematics examination. This question covers Inequalities, Linear Programming .

Neco 2017 Mathematics Essay / Theory

Topics: Inequalities Linear Programming

Question 8 NECO • 2017 • MATHEMATICS • essay

A manufacturer produces two models of a gadget, A and B. The profit per unit of model A is ₦1200 and for model B is ₦1500. Due to market constraints, the total number of units produced per day cannot exceed 200. Additionally, at least 40 units of model B must be produced each day. Let x be the number of units of model A produced daily and y the number of units of model B produced daily.

Question Parts

( a )

Write the system of inequalities that represents the production constraints.

( b )

The manufacturer wishes to achieve a daily profit of at least ₦210,000. Express this requirement as an inequality involving x and y and add it to the system.

( c )

Determine the range of possible values of x that satisfy all the constraints. Show your working.

( d )

If the manufacturer decides to produce the maximum possible number of model A units while still meeting the profit target, how many units of each model should be produced? Provide the values of x and y.

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About This Question

This is Neco 2017 Mathematics Question 8. It is one of the essay questions from the 2017 Neco Mathematics examination.

The question covers Inequalities, Linear Programming .

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