Question 886633


A friend of mine who loves maths problems asked me to solve this but I must confess I am completely stuck! Any help would be greatly appreciated.

The problem:

When the admission price to a game is £0.50, 10,000 people attend. For every increase of £0.05 in the admission price, 200 fewer people attend. Find the admission price that yields the largest income. What is the largest income?

Many thanks in advance for your help.
<pre>
Admission price that yields MAXIMUM income: £{{{highlight_green(highlight_green(1.50))}}}
Maximum income:  £{{{highlight_green(highlight_green(9000))}}}
You can do the check!! 

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