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(10 points) We have studied a simple method to calculate the utilization when the processes are homogeneous, ie, U = 1-p". An OS is homogeneous processes on a computer system with a single proces these k processes waits for I/O 95% of its execution time. administrator determined that the utilization in this scenario was U = 0.1, when the number of processes was doubled, the utilization increased to U = 0.4. However, when 2k processes were executed, the memory (RAM) in the system was used completely. The administrator decided to invest in a faster l/O subsystem so that the effective wait time for each process can be decreased. executing k sor. Each of The system (4 pts) What is the maximum number of processes that can be executed? (2 pts) Ignoring the footprint of the Operating System, i.e., the processes can use all available memory, how will the utilization change if the memory is doubled? (2 pts) How will the utilization change if the I/O time is reduced to 80%? (2 pts) How will the utilization change if the I/O time is reduced to 80% and the memory in the system is doubled? a. b. c. d. (Show your work clearly and explain your response)