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1.2 Algebra and Functions

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Question 99

The profit functions for two competing electronics startups are modeled by P(x)=2x2+ax+bP(x) = 2x^2 + ax + bP(x)=2x2+ax+b and Q(x)=2x2+cx+dQ(x) = 2x^2 + cx + dQ(x)=2x2+cx+d, where xxx represents the number of units sold (in thousands). It is discovered that both startups break even at exactly the same positive production level, specifically when (2x−9)(2x - 9)(2x−9) is a factor of both profit functions.

Show that 9(c−a)=2(b−d)9(c - a) = 2(b - d)9(c−a)=2(b−d).

Fully justify your answer.

[4]
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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