The painting company utilizes given function to find amount of time it takes for two of the employees to ?nish the job:
t(x, y) = xy /x + y
where x and y are times it takes for individual employees to do it on their own. Suppose you are painter and it takes you 412 hours to paint the house. Write the function t(x) that gives time it takes you to paint the house with one other employee. Look at the graph in suitable viewing window and determine horizontal asymptote of function. Describe shape of graph and meaning of the asymptote.