4. Optimal Rental Decisions in Cloud Computing (10 points) Assume that AWS has the following 3 options for renting servers. Server Description Rental Fraction of Job in one Hour 1/8 1/6 M Low Power Medium Power High Power $2/hr. $4.hr $9 hr. Note that if you rent a server for less than one hour, you still must pay the rent for the entire hour. You have a job that must finish in at most 5 hours. The low-power server can finish 1/8th of the job in 1 hour, the medium-power server can finish 1/64 of the job in one hour, and the high- power server can finish 1/3rd of the job in one hour. (a) The typical practice used by most firms is to find a single server that can do the work at the least cost and within the available time. Find the best single server solution - that is, which single server should you use and for how many hours will you rent this server? (5 points) (b) Find any multi-server solution that beats the single server solution. For this to happen, the multi-server solution must have a lower cost and finish the job in the available time. (5 points)