Q7 of 32 Page 107

A company manufactures cassettes. Its cost and revenue functions are C(x) = 26,000 + 30x and R(x) = 43x, respectively, where x is the number of cassettes produced and sold in a week. How many cassettes must be sold by the company to realise some profit?

Profit = Revenue – cost


Requirement is, profit > 0


Also, Given


Revenue, R(x) = 43 x


and C(x) = 26,000 + 30 x


where x is number of cassettes


⇒ Profit = 43x – (26,000 + 30x) > 0


⇒ 13x – 26,000 > 0


⇒ 13x > 26000


⇒ x > 2000


Hence, the company should sell more than 2000 cassettes


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