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1.2 Algebra and Functions

1.2 Algebra and Functions

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Question 95

A company models its daily profit, £PPP, from selling x x\,x items per day by the equation P=60x−x2−500P = 60x - x^2 - 500P=60x−x2−500

a.

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

[3]
b.

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

[2]
Markscheme

1.2 Algebra and Functions Questions

  1. A Level
  2. /Maths
  3. /1.2 Algebra and Functions

302 exam-style questions on WJEC A Level Maths 1.2 Algebra and Functions, covering 1.2.1 Algebra and Functions, 1.2.2 Algebra and Functions, 1.2.3 Algebra and Functions, 1.2.4 Algebra and Functions, 1.2.5 Algebra and Functions, 1.2.6 Algebra and Functions, 1.2.7 Algebra and Functions, 1.2.8 Algebra and Functions, 1.2.9 Algebra and Functions, 1.2.10 Algebra and Functions, 1.2.11 Algebra and Functions, and 1.2.12 Algebra and Functions. Each one has a worked solution and a mark scheme showing where the marks go.

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