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

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Payal Gupta | Contributor-Level 10

3 months ago

This is a short answer type question as classified in NCERT Exemplar

$\begin{array}{l} G i v e n t h a t : Cost f u n c t i o n, C (x) = 26, 000 + 30 x \\ a n d r e v e n u e f u n c t i o n R (x) = 43 x \\ N o w f o r p r o f i t P (x), R (x) > C (x) \\ \Rightarrow 43 x > 26000 + 30 x \Rightarrow 26000 + 30 x < 43 x \\ \Rightarrow 30 x - 43 x < 26000 \Rightarrow - 13 x < - 26000 \\ \Rightarrow 13 x > 26000 \Rightarrow x > 2000 \\ H e n c e, n u m b e r o f c a s s e t t e s t o b e m a n u f a c t u r e d f o r s o m e p r o f i t m u s t b e m o r e t h a n 2000 . \end{array}$

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

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