1. Draw up a table of values for the function with formula y = 1100 +100x for...

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1. Draw up a table of values for the function with formula y = 1100 +100x for x values 0 to 10 in steps of 1. Hence, sketch the graph of the function 

2. Draw up a table of values for the function given by y = 25000x −100x2 −1020000 for x values 25 to 200 in steps of 25.  In the context of Practice Question 8.1 (3), how many items should the cake manufacturer produce in order to maximise his profit.


Data from Practice question 8.1(3)

3. A cake manufacturer found that the weekly sales for a certain product depended on its selling price. Experience showed that the maximum number that could be sold per week was 20000 but that the actual number sold decreased by 100 for every 1p increase in price. The total product cost consisted of a set-up cost of £200 plus 50p for each product made. Find the formula that relates the weekly profit y to the selling price x. (Assume sales match production)

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