Neco 2017 Mathematics Question 3

Practice essay / theory question 3 from the 2017 Neco Mathematics examination. This question covers Indices, Logarithms, Surds .

Neco 2017 Mathematics Essay / Theory

Topics: Indices Logarithms Surds

Question 3 NECO • 2017 • MATHEMATICS • essay

A company produces two types of widgets, X and Y. The profit per unit of widget X is expressed as \(2^{n}\) Naira, where \(n\) is an integer. The profit per unit of widget Y is expressed as \(\log_{2} m\) Naira, where \(m\) is a positive integer. In a particular month the following conditions are satisfied: - The total profit from selling 5 units of X and 8 units of Y is 72 Naira. - The profit per unit of X is exactly twice the profit per unit of Y. Using the information above, answer the questions that follow.

Question Parts

( a )

Determine the values of \(n\) and \(m\). State the profit per unit of each widget.

( b )

If the company sells 12 units of X and 15 units of Y, calculate the total profit for that month.

( c )

The company wishes to achieve a total profit of at least 200 Naira while keeping the same ratio of X to Y units as in the original month (5 : 8). What is the minimum whole number of X units that must be sold?

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About This Question

This is Neco 2017 Mathematics Question 3. It is one of the essay questions from the 2017 Neco Mathematics examination.

The question covers Indices, Logarithms, Surds .

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