A company manufactures cassettes. Its cost and revenue functions are $C (x) = 26, 000 + 30 x$ and $R (x) = 43 x$ , 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?

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Solution

Given :

Cost function $C (x) = 26, 000 + 30 x$

Revenue function $R (x) = 43 x$

$R (x) > C (x)$ (For profit)

$\Rightarrow 43 x > 26000 + 30 x$

$\Rightarrow 13 x > 26000$

$\Rightarrow x > 2000$

Hence, more than $2000$ cassettes should be sold to realise some profit .

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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?

Given : Cost function C(x)=26,000+30x Revenue function R(x)=43x R(x)>C(x) (For profit) ⇒43x>26000+30x ⇒13x>26000 ⇒x>2000 Hence, more than 2000 cassettes should be sold to realise some profit .

A company manufactures cassettes. Its cost and revenue functions are $C (x) = 26, 000 + 30 x$ and $R (x) = 43 x$ , 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?

Given :

Cost function $C (x) = 26, 000 + 30 x$

Revenue function $R (x) = 43 x$

$R (x) > C (x)$ (For profit)

$\Rightarrow 43 x > 26000 + 30 x$

$\Rightarrow 13 x > 26000$

$\Rightarrow x > 2000$

Hence, more than $2000$ cassettes should be sold to realise some profit .