Answer:
The vertical asymptote is at P = 100
Step-by-step explanation:
* Lets explain what are the vertical asymptotes
- Vertical asymptotes are vertical lines which correspond to the zeroes
 of the denominator of a rational function
- Vertical asymptotes can be found by solving the equation n(x) = 0
 where n(x) is the denominator of the function t(x)/n(x)
- Note: this only applies if the numerator t(x) is not equal zero for the
 same value of x
# Example: to find the vertical asymptote to [tex]f(x)=\frac{3x-1}{x-5}[/tex]
 put the denominator x - 5 = 0, and solve it
 the value of x = 5, then the vertical asymptote is at x = 5
* Lets solve the problem
- The equation of the cost is [tex]C=\frac{25000P}{100-P}[/tex]
∵ The denominator of C is (100 - P)
- To find the vertical asymptote equate the denominator by zero
∴ 100 - P = 0 ⇒ add P for both sides
∴ P = 100
∴ There is a vertical asymptote at P = 100
* The vertical asymptote is at P = 100
