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9.9 Using Second Derivatives

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Question 20

A manufacturer produces a specific model of electronic tablet. The weekly profit, PPP, earned by the company is modelled by the equation

P=15x−x32−100 P = 15x - x^{\frac{3}{2}} - 100 P=15x−x23​−100

where PPP is measured in hundreds of pounds and £x£x£x is the selling price of each tablet.

According to this model:

a.

find, using calculus, the maximum possible weekly profit.

[4]
b.

Justify, also using calculus, that the profit you have found is a maximum.

[3]
Markscheme

9.9 Using Second Derivatives Questions

  1. A Level
  2. /Maths
  3. /9.9 Using Second Derivatives

57 exam-style questions on Edexcel A Level Maths 9.9 Using Second Derivatives. Each one has a worked solution and a mark scheme showing where the marks go.

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