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1.5.3 Quadratic functions

A company models its daily profit, £ $P$ , from selling $x\,$ items per day by the equation $P = 60x - x^2 - 500$

By completing the square, express $P\,$ in the form $A - (x - B)^2$ , where $A\,$ and $B\,$ are constants to be found.

[3]

Hence state the number of items the company should sell each day to maximise its daily profit, and the maximum daily profit.

[2]

1.5.3 Quadratic functions Questions

63 exam-style questions on AQA A Level Maths 1.5.3 Quadratic functions. Each one has a worked solution and a mark scheme showing where the marks go.

1.5.3 Quadratic functions

Question bank

A company models its daily profit, £ $P$ , from selling $x\,$ items per day by the equation $P = 60x - x^2 - 500$

By completing the square, express $P\,$ in the form $A - (x - B)^2$ , where $A\,$ and $B\,$ are constants to be found.

[3]

Hence state the number of items the company should sell each day to maximise its daily profit, and the maximum daily profit.

[2]

63 exam-style questions on AQA A Level Maths 1.5.3 Quadratic functions. Each one has a worked solution and a mark scheme showing where the marks go.