Average Cost See Problem 77. Suppose that the government imposes a $ 1000 -per-day tax on the bicycle manufacturer so that the daily cost C of manufacturing x bicycles is now given by C ( x ) = 80 x + 6000 . Now the average daily cost C ¯ is given by C ¯ ( x ) = 80 x + 6000 x . How many bicycles must be produced each day for the average cost to be no more than $ 100 ?
Average Cost See Problem 77. Suppose that the government imposes a $ 1000 -per-day tax on the bicycle manufacturer so that the daily cost C of manufacturing x bicycles is now given by C ( x ) = 80 x + 6000 . Now the average daily cost C ¯ is given by C ¯ ( x ) = 80 x + 6000 x . How many bicycles must be produced each day for the average cost to be no more than $ 100 ?
Solution Summary: The author explains that at least 300 bicycles must be produced each day for the average cost to be no more than 100.
Average Cost See Problem 77. Suppose that the government imposes a
-per-day tax on the bicycle manufacturer so that the daily cost
of manufacturing
bicycles is now given by
. Now the average daily cost
is given by
. How many bicycles must be produced each day for the average cost to be no more than
?
Expert Solution & Answer
To determine
To find: How many bicycles must be produced each day for the average cost to be no more than ?
Answer to Problem 78AYU
At least 300 bicycles must be produced each day for the average cost to be no more than .
Explanation of Solution
Given:
and
Calculation:
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
350
Value of
20
Conclusion
Positive
Negative
Since we want to know where is negative, conclude that . The solution set is or, using interval notation .
Therefore at least 300 bicycles must be produced each day for the average cost to be no more than .
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
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