Neco 2020 Mathematics Question 5
Practice essay / theory question 5 from the 2020 Neco Mathematics examination. This question covers Algebraic Expressions, Factorisation, Optimization .
A company produces two types of widgets, Type A and Type B. Let \(x\) be the number of Type A widgets produced and \(y\) be the number of Type B widgets produced. The profit \(P\) (in thousand Naira) obtained from producing \(x\) and \(y\) units is given by \[ P = 2x^{2}+4xy+2y^{2}-6x+8y+10. \] (a) Factor the quadratic part of the profit expression. (b) The company decides to produce a total of 10 widgets, i.e. \(x+y=10\). Determine the values of \(x\) and \(y\) that give the maximum profit. (c) Calculate the maximum profit (in thousand Naira).
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This is Neco 2020 Mathematics Question 5. It is one of the essay questions from the 2020 Neco Mathematics examination.
The question covers Algebraic Expressions, Factorisation, Optimization .
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