Concept explainers
a
To determine the cost of seizing 25%, 50%, and 75% of illegal drug
a
Answer to Problem 137RE
For 25%, the seizing cost = $176 million
For 50%, the seizing cost = $528 million
For 75%, the seizing cost = $1584 million
Explanation of Solution
Given:
The given relation is:
Where, C is the cost of seizing p % of illegal drugs in millions of dollars.
p is the percentage of seizure of illegal drugs.
Calculation:
Now, when percentage seizure is 25% , p = 25
Then,
This means in order to seize 25% of illegal drugs, the cost comes out to be $176 million.
Similarly,
When p = 50,
This means in order to seize 50% of illegal drugs the cost comes out to be $528 million.
Again,
When p = 75,
This means in order to seize 75% of illegal drugs the cost comes out to be $1584 million.
Conclusion:
For 25%, the seizing cost = $176 million
For 50%, the seizing cost = $528 million
For 75%, the seizing cost = $1584 million
b
To graph the function for the given relation
b
Explanation of Solution
Given:
The given relation is:
Calculation of Graph:
Consider
Values of p | Values of C |
25 | 176 |
50 | 528 |
75 | 1584 |
By considering various values of p , the graph can be plotted.
Graph:
Interpretation:
The graph shows increasing nature throughout and it becomes asymptotic at p = 100.
Also, the domain is:
By seeing the domain and range of the graph, the viewing window has been selected, such that the asymptotic nature of the graph at p = 100 is clearly visible.
c
To determine whether 100% seizure is possible or not.
c
Explanation of Solution
Given:
The given relation is:
Graph:
Interpretation:
From the above graph, it is clear that, the curve never meets the graph at p = 100.
So, it is impossible to seize 100% of the drug.
Conclusion:
Hence, 100% seizure of the illegal drugs is not possible.
Chapter 2 Solutions
Precalculus with Limits: A Graphing Approach
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning