"The concentration of a certain drug in a patient's bloodstream minutes after injection is given by

C(t)=50t/t^2+25

a.)Are there any horizontal asymptote(s) of ? If yes, find the horizontal asymptote and please explain why.In addition, what happens to the concentration of the drug as increases? In other words, describe the behavior.

b.)Are there any vertical asymptote(s) of ?If yes or no, please explain and show complete work.

c.)Find the time at which the concentration is highest. Please explain and show work completely. Note: Don't answer the statement based on the graph of the function or by inserting a table to find the time.Also, using any other methods from another course such as Calculus is not allowed.The only hint is to apply the local/absolute minimum and/or local/absolute maximum to find the time when the concentration is highest.

d.)Using a graphing calculator, insert the graph of .Note: the graph of must be shown completely.Do not 'zoom in' and/or change the window, just leave the graph in 'standard' form.