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1.5 B: Algebra and functions

1.5 B: Algebra and functions

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Question 211

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

1.5 B: Algebra and functions Questions

  1. A Level
  2. /Maths
  3. /1.5 B: Algebra and functions

532 exam-style questions on AQA A Level Maths 1.5 B: Algebra and functions, covering 1.5.1 Laws of indices, 1.5.2 Surds, 1.5.3 Quadratic functions, 1.5.4 Simultaneous equations, 1.5.5 Linear and quadratic inequalities, 1.5.6 Polynomials and rational expressions, 1.5.7 Graphs of functions and proportion, 1.5.8 Composite and inverse functions (A-level only), 1.5.9 Transformations of graphs, 1.5.10 Partial fractions (A-level only), and 1.5.11 Functions in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank