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A radio manufacturer finds that he can s...

A radio manufacturer finds that he can sell x radios per week at Rs. P each , where `p=2(100-(x)/(4))`. His cost of production of x radios per week is `(120x+(x^(2))/(2))`. Show that his profit us maximum when the production is 40 radios per week . Find also his maximum profit per week.

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The correct Answer is:
Rs . `=1600`
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