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Question Number 5914 by sanusihammed last updated on 05/Jun/16

A certain telephone company can get 10000 subscribers   t.  yearly rate at 50 naira each . it will get 1000 more subscribers  for each 1.00 naira decrease in the rate. what rate will yield   the maximum yearly income and what will this income be ?

$${A}\:{certain}\:{telephone}\:{company}\:{can}\:{get}\:\mathrm{10000}\:{subscribers}\:\:\:{t}. \\ $$$${yearly}\:{rate}\:{at}\:\mathrm{50}\:{naira}\:{each}\:.\:{it}\:{will}\:{get}\:\mathrm{1000}\:{more}\:{subscribers} \\ $$$${for}\:{each}\:\mathrm{1}.\mathrm{00}\:{naira}\:{decrease}\:{in}\:{the}\:{rate}.\:{what}\:{rate}\:{will}\:{yield}\: \\ $$$${the}\:{maximum}\:{yearly}\:{income}\:{and}\:{what}\:{will}\:{this}\:{income}\:{be}\:? \\ $$

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