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  • 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?

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?

Answers (1)

Given: Revenue, R(x) = 43x

          Cost, C(x) = 26,000 + 30x,

            Where ‘x’ is the no. of cassettes.

Requirement: profit > 0

Solution: We know that,

Profit = revenue – cost

            = 43x – 26000 – 30x > 0

            = 13x – 26000 > 0

            = 13x > 26000

            = x > 2000

Therefore, 2000 more cassettes should be sold by the company to realize the profit.
 

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