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Question
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?
Solution
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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