a.
To identify: The function for the average cost of disc that is not a sample. Graph the function. It is given that CD’s can be manufactured for $.19 each and the development cost is $210,000. The first 500 discs are samples and will not be sold.
The required function is
Given information:
It is given that CD’s can be manufactured for $.19 each and the development cost is $210,000. The first 500 discs are samples and will not be sold.
Explanation:
Consider the given information.
Let x is the total number of CD’s
The cost of manufacturing x CD’s is
Non-sample discs are
Average price of a non-sample disc is:
The required function is
b.
To calculate: The average cost if 5000 discs are produced? If 15,000 discs are produced?
The average cost if 5000 discs are produced is $46.88 and the average cost if 15,000 discs are produced is $14.68.
Given information:
It is given that CD’s can be manufactured for $.19 each and the development cost is $210,000. The first 500 discs are samples and will not be sold.
Calculation:
Consider the given information.
Put
Put
c.
To identify: How many discs must be produced to bring the average cost under $10.
Minimum 21,917 discs should be produced.
Given information:
It is given that CD’s can be manufactured for $.19 each and the development cost is $210,000. The first 500 discs are samples and will not be sold.
Explanation:
Consider the given information.
Put
Thus, minimum 21,917 discs should be produced.
d.
To identify: The vertical and horizontal asymptotes of the graph of the function.
The vertical asymptotes is
Given information:
The function is
Explanation:
Consider the function obtained.
The denominator of the function will be zero when
Thus, vertical asymptotes is
Also observe that the degree of numerator and denominator is equal so the horizontal asymptotes is:
Hence, the horizontal asymptotes is
Chapter 8 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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