A food manufacturer found that the sales figure for a certain item depended on its selling price.

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A food manufacturer found that the sales figure 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 20 000 and that the number sold decreased by 100 for every 1p increase in its price. The total production cost consisted of a set-up cost of £200 plus 50p for every item manufactured. What price should the manufacturer adopt?

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