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## The function C(x)=−20x+1681 represents the cost to produce x items. What is the least number of items that can be produced so that the avera

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The function C(x)=−20x+1681 represents the cost to produce x items. What is the least number of items that can be produced so that the average cost is no more than $21?

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Mathematics
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2021-08-04T19:02:37+00:00
2021-08-04T19:02:37+00:00 1 Answers
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## Answers ( )

Answer:The least number of items to produce is 41Step-by-step explanation:Average CostGiven C(x) as the cost function to produce x items. The average cost is:

The cost function is:

And the average cost function is:

We are required to find the least number of items that can be produced so the average cost is less or equal to $21.

We set the inequality:

Multiplying by x:

Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.

Adding 20x:

Swapping sides and changing the sign:

Dividing by 41:

The least number of items to produce is 41