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A company manufactures x units of calculators per month. The monthly cost, C(x) and price-demand equations (the selling price in RM ), p are: C(x)=200+10xp=305x

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A company manufactures x units of calculators per month. The monthly cost, C(x) and price-demand equations (the selling price in RM ), p are: C(x)=200+10xp=305x (a) Determine the number of units of calculators that should be sold to maximize monthly revenue and find the maximum monthly revenue. (6 marks) (b) Find the price for each calculator to be sold to achieve its maximum revenue. (2 marks) (c) Find the profit function. (2 marks) (d) Determine the number of units of calculators that should be sold to maximize monthly profit and find the maximum monthly profit. (4 marks) (e) Find the price of each calculator to be sold to achieve its maximum profit. (2 marks) (f) Find the number of units of calculators to be sold to break-even. (4 marks)

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