A manufacturer produces a specific model of electronic tablet. The weekly profit, PPP, earned by the company is modelled by the equation
P=15x−x32−100P = 15x - x^{\frac{3}{2}} - 100P=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:
find, using calculus, the maximum possible weekly profit.
Justify, also using calculus, that the profit you have found is a maximum.
Practise Edexcel A Level Maths 9.9 Using Second Derivatives with exam-style questions for A Level Maths. 57 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.