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A small company, JJY manufactures and sells bicycle for children at the age of 1-5 year old. The production manager, Danial has determined that the cost and demand function for x(x≥0) bicycle per week are C(x)=10+5x+1/60 x^3 and p=90 – x , where p is the price per bicycle. Find the maximum weekly revenue. (please provide the steps of proving x as critical point) Determined the number of bicycle sold to give the maximum revenue. Then, find the maximum weekly profit Determined the number of bicycle sold to give the maximum profit.
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