Suppose that the cost C of removing p percent of the particulate pollution from the exhaust gases at an industrial site is given by . Describe any discontinuities for C(p). Explain what each discontinuity means.
A)C(p) is discontinuous at ) This means that not all pollution can be removed.
B)C(p) is discontinuous at ) This means that none of the pollution can be removed.
C)C(p) is continuous everywhere.
D)C(p) is discontinuous at ) This means that not all pollution can be removed.
E)C(p) is discontinuous at ) This means that none of the pollution can be removed.

Question

Suppose that the cost C of removing p percent of the particulate pollution from the exhaust gases at an industrial site is given by  . Describe any discontinuities for C(p). Explain what each discontinuity means. ​
A)C(p) is discontinuous at ) This means that not all pollution can be removed. 
B)C(p) is discontinuous at ) This means that none of the pollution can be removed. 
C)C(p) is continuous everywhere. 
D)C(p) is discontinuous at ) This means that not all pollution can be removed. 
E)C(p) is discontinuous at ) This means that none of the pollution can be removed.

Quizplus · Accepted Answer

The function C(p) is discontinuous at 11eb0d3b_9840_635c_9790_e7ae4f083f18_TB1243_11, which corresponds to a vertical asymptote in the graph of the function. This means that there is a limit to how much pollution can be removed, and beyond a certain percent, it becomes impossible or impractical to remove any more.

Suppose That the Cost C of Removing P Percent of the Particulate