The cost C (in millions of dollars) for the federal government to seize p% of a type of illegal drug as it enters the country is modeled by $C = 584 / ( 100 - p )$ , for $0 \leq p \leq 100$ . Find the limit of C as $p \rightarrow 100 ^ { - }$ .
A)584
B) $100$
C) $- 100$
D) $\infty$
E) $0$

Question

Quizplus · Accepted Answer

As $p$ approaches 100 from the left, the denominator of the fraction $584 / (100 - p)$ approaches 0, causing the value of $C$ to increase without bound, which means the limit is $\infty$.

The Cost C (In Millions of Dollars) for the Federal C=584/(100−p)C = 584 / ( 100 - p )C=584/(100−p)

The Cost C (In Millions of Dollars) for the Federal $C = 584 / ( 100 - p )$