IB skill practice

Optimise models using derivatives

Differentiate an applied model and use a stationary point to optimise a quantity.

Paper 1, Paper 2 5 marks Difficulty 3

Optimise models using derivatives - interpretation demand

A regional clinic profit model is \(P(x)=21x-5x^{2}\), where \(x\) is the production level in hundreds. Use differentiation to find the maximum profit value. Enter the requested value and choose the interpretation that matches the result.

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