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Question

Suppose the daily revenue from selling x boxes of candy is given by the equation R = 12x, where R is the revenue in Rs. The daily cost of operating the store and making the candy is given by the equation C = 8x + 96, where C is the making cost in Rs. For how many boxes of candy will revenue exceed making cost?


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 making profit, revenue equation should exceed the making cost equations.

Equation of revenue; R = 12x

Equation of cost; C = 8x + 96.

So, R > C

12x >(8x + 96)

x > 24.


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