1. (5 points) Your large family wants to go on a vacation that costs n dollars, but currently has no money saved. Unfortunately, all of your money can't go just to the vacation: the family's expenses are k dollars per week. You live in a factory town where anyone in your family can get a job paying m dollars per week (assume hopefully that m > k). Calculate the time T(n,1) it takes for one person to save up for the vacation (your answer can be a fractional number of weeks, there is no need to use floor or ceiling functions). Then give the time it takes for p workers to save for the vacation (T(n,p)). Calculate the achieved speedup S(p) over using a single pipe and show that S(p) > p. Why is this possible? Explain