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**tini****Guest**

A sweet manufacturer found that the sales figures for a certain item depended on its selling price. The company’s market research department advised that the maximum number of items that could be sold weekly was 20000 and that the number decreased by 100 for every 1p increase in its price. The total production cost consists of a set-up cost of £200 plus 50p for every item manufactured.

If the price increase one week is p pence, find expressions in terms of p for:

-the number N of items sold weekly;

-the production cost £C;

-the revenue £R from the sales.

-Show that the profit £P is given by

P = 250p – 10200 – p^2

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