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Question

Suppose the daily revenue (R) from selling x boxes of candy is given by the equation R = ₹ 12x. The daily cost of operating the store and the production of candy (C) is given by the equation C = ₹(8x + 96) . For how many boxes of candy will the revenue exceed the cost of production


A

x >24

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B

x< 24

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C

x < 18

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D

x > 18

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Solution

The correct option is A

x >24


For profit, revenue should exceed the cost of Production

Equation of revenue; R = 12x

Equation of cost; C = 8x + 96.

So, R > C

12x >(8x + 96)

x > 24.


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