Answer:
<em>The least number of items to produce is 41</em>
Step-by-step explanation:
<u>Average Cost</u>
Given 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