Linear Inequations-21

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The cost and revenue functions of a product are given by C(x) = 2x + 400 and R(x) = 6x + 20 respectively,
where x is the number of items produce by the manufacturer. How many items the manufacturer must sell to realize some profit?

Solution: We have,

Profit = Revenue – Cost

Therefore, to earn some profit, we must have

Revenue > Cost

=> 6x + 20 > 2x + 400

=> 6x – 2x > 400 – 20

=> 4x > 380

=> x > 380/4 = 95

Hence, the manufacturer must sell more than 95 items to realize some profit.

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