Suppose that the costCof obtaining water that containsppercent impurities is given by

C(p) =170,000

p

1700.

(a) Findlim

p100

C(p),

if it exists. (If you need to useor-,enter INFINITY or-INFINITY, respectively.)

Interpret this result.

This is pure water.

This is basically untreated water.

(b) Findlim

p0⁺

C(p),

if it exists. (If you need to useor-,enter INFINITY or-INFINITY, respectively.)

(c) Is complete purity possible? Explain.

Yes, becauseC(0) exists and is positive.

Yes, becauseC(0) is zero.

No, because the cost would be extremely large sinceC(0) is undefined.

No, becauseC(0) exists but is negative.