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The cost and revenue functions of a product are given by C(x) = 20x + 4000 and R(x) = 60x + 2000, respectively, where x is the number of items produced and sold. How many items must be sold to realis - Mathematics

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प्रश्न

The cost and revenue functions of a product are given by C(x) = 20x + 4000 and R(x) = 60x + 2000, respectively, where x is the number of items produced and sold. How many items must be sold to realise some profit? 

योग

उत्तर

We have, profit = Revenue – Cost

= (60x + 2000) – (20x + 4000)

= 40x – 2000

To earn some profit, 40x – 2000 > 0.

⇒ x > 50

Hence, the manufacturer must sell more than 50 items to realise some profit.

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अध्याय 6: Linear Inequalities - Solved Examples [पृष्ठ १०१]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 6 Linear Inequalities
Solved Examples | Q 5 | पृष्ठ १०१

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