1.

A factory can shell 'x' items per week at price of Rs (20-(x)/(1000)) each. If the cost price of one item is Rs (5+(2000)/(x)), find the number of items, the factory should produce every week for maximum profit. If price is reduced, how it will effect the sale? Give reasons. (ii) Profit function of a company is given as : P(x)=(24x)/(5)-(x^(2))/(100)-500. where 'x' is the number of units produced. What is the maximum profit of the company?

Answer»


Answer :(i) x = 7500. On reduction of price, the sale will INCREASE but the profit will DECREASE.
(ii) Max. profit = RS 76 when x = 240.


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