a) The manufacturing cost of an item consists of Sh. 10,000 as overheads; material cost Sh. 4 per item and the labour cost Sh. x2/90 for x items produced. Find how many items will be
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b) For a monopolist market, the demand law is p = (6 – x)2 and marginal cost is x + 14. Find the consumers’ surplus. (7marks)
c) Jean purchases 3 pens, 2 exercise books and 1 pencil and pays Sh. 41. From the same shop, Joan purchases 2 pens, 1 exercise book and 2 pencils and pays Sh. 29, while Jaedon purchases 2 pens, 2 exercise books and 2 pencils and pays Sh. 44. Translate the problem into a system of equations. Solve the system of equations by matrix method and hence find the
cost of 1 pen, 1 exercise book and 1 pencil.
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