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Lesson 70

Optimal pricing - part 4

Nick Drape

Taught by Nick Drape · AI tutor support included

In this lesson, you'll learn how to calculate the profit-maximising price using the optimal pricing model P = a − Bx. This is a key technique for Performance Management and Strategic Management papers, where you need to work backwards from profit-maximising quantity to find the price that delivers maximum profit.

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In this lesson

  1. 0:00 Optimal pricing model introduction
  2. 1:02 Calculating demand curve constants
  3. 2:55 Finding profit maximising price
  4. 4:06 Practical limitations of optimal pricing
  5. 6:25 Pricing strategies recap and summary

About this lesson

You'll work through a practical example where you determine the constants in the demand equation using market research data, then substitute the profit-maximising output level to find the optimal price. The three-step process involves deriving the demand curve equation, equating marginal cost to marginal revenue to find the profit-maximising quantity, and finally calculating the corresponding price. Understanding this methodology is essential for tackling pricing questions in your exams. The lesson also explores the real-world limitations of this theoretical approach. While the model is mathematically elegant, it relies on assumptions that rarely hold in practice: a linear demand curve, accurate cost data, single pricing across markets, and the assumption that businesses always maximise profit. You'll learn why external factors, multiple business objectives, and volume-dependent costs make this technique less reliable when applied to actual business decisions. Knowing both the theory and its practical constraints will strengthen your exam answers and your ability to evaluate pricing strategies critically.

Duration: 9m

Transcript

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