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Currently, a local newspaper company sells print subscriptions for £9.30 a month and has 2400 subscribers.

Based on a conducted survey, they expect to lose 20 subscribers for each £0.10 increase from the current monthly subscription price.

1. Complete the following table:

   Price for subscription (£)	Number of subscribers	Revenue (£)
   9.3	2400	22320
   9.4	2380
   10

   Let $x$ be the number of £0.10 increases.

2. Write down the expected number of subscribers sold in terms of $x$.
3. Prove that the revenue is given by the formula: $R(x)=22320+54x−2x^2$.
4. What should the newspaper company charge for a monthly subscription in order to maximize the revenue from the print newspaper subscriptions?

Audio

Version 1 (William Blackmore) ??

Version 2 (Ines McCairley) ??

Vocabulary

• newspaper company: groupe de presse
• subscription: abonnement