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Question Number 5913 by sanusihammed last updated on 05/Jun/16

Suppose a drug manufacturer can sell  x  bottles of drug at  price P  = 200 − 0.01x kobo and that it cost  y = 50x + 20000  kobo to produce x bottles of drug. What is the production level   for maximum profit.

$${Suppose}\:{a}\:{drug}\:{manufacturer}\:{can}\:{sell}\:\:{x}\:\:{bottles}\:{of}\:{drug}\:{at} \\ $$$${price}\:{P}\:\:=\:\mathrm{200}\:−\:\mathrm{0}.\mathrm{01}{x}\:{kobo}\:{and}\:{that}\:{it}\:{cost}\:\:{y}\:=\:\mathrm{50}{x}\:+\:\mathrm{20000} \\ $$$${kobo}\:{to}\:{produce}\:{x}\:{bottles}\:{of}\:{drug}.\:{What}\:{is}\:{the}\:{production}\:{level}\: \\ $$$${for}\:{maximum}\:{profit}. \\ $$

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