Lets assume that the number of page fault experienced by a program is proportional to the amount of memory allocated for each process. If the amount of allocated memory is doubled, the page fault rate is reduced by half. Suppose that a normal instruction takes 1 microsecond to execute. It takes 1000 microsecond to handle a page fault, implying that an instruction that causes a page fault will need a total of 1001 microsecond to execute. If a program takes 90 sec to run with 4 MB of RAM allocated for the process, during which time it experiences 5000 page faults, how long will it take if the allocated RAM space is doubled to 8 MB? Please show your work.