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3.6.2 Differentiation (A-level only)

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Question 26

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

x^{\frac{3}{2}} - 100

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

According to this model:

find, using calculus, the maximum possible weekly profit.

[4]

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

[3]

Markscheme

3.6.2 Differentiation (A-level only) Questions

A Level
Maths
3.6.2 Differentiation (A-level only)

57 exam-style questions on WJEC A Level Maths 3.6.2 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

3.6.2 Differentiation (A-level only)

Question bank

3.6.2 Differentiation (A-level only)

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46

Question 26

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

x^{\frac{3}{2}} - 100

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

According to this model:

find, using calculus, the maximum possible weekly profit.

[4]

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

[3]

Markscheme

3.6.2 Differentiation (A-level only) Questions

A Level
Maths
3.6.2 Differentiation (A-level only)

57 exam-style questions on WJEC A Level Maths 3.6.2 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.