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Question
A manufacturing company finds that the daily cost of producing x item of product is given by C(x) = 210x + 7000. Find the minimum number that must be produced and sold daily, if each item is sold for ₹ 280.
Solution
Given C(x) = 210x + 7000, R(x) = 280x
Minimum number must be sold daily when R(x) = C(x)
`\implies` 210x + 7000 = 280x
`\implies` 70x = 7000
`\implies` x = 100.
∴ Minimum number that must be sold is 100.
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