Concept explainers
Average Cost Suppose that the daily cost of manufacturing bicycles is given by . Then the average daily cost is given by . How many bicycles must be produced each day for the average cost to be no more than ?
To find: How many bicycles must be produced each day for the average cost to be no more than
Answer to Problem 71AYU
At least 250.
Explanation of Solution
Given:
and
Average cost to be no more than .
The zero of is .
Use the zero and the undefined value to separate the real number line into intervals:
Select a test number in each interval found in above and evaluate each number to determine if is positive or negative.
Interval | ||
Number chosen | 200 | 300 |
Value of | 5 | |
Conclusion | Positive | Negative |
Since we want to know where is negative, conclude that . The solution set is or, using interval notation .
Therefore at least 250 bicycles must be produced each day for the average cost to be no more than .
Chapter 4 Solutions
Precalculus
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