You are a system administrator and have access to unlimited number of servers with same amount of cpu (#of cores) and memory (gb). on these servers, you need pack number of applications k, deployed as vms such that the total cost of ownership without affecting the application performance, is the least. application resource requirements are provided in the following format * cpu utilization in percentage for a single core system * memory allocated in mb you need to pack the applications on the server in such a manner that its resource requirement is fully met on that server i. e. you cannot deploy the same application across different servers. each server that hosts the application has a constant initial cost in terms of * reserved cpu in percentage for a single core system * reserved memory in mb the cost of the server can be calculated from the following equation: cost per hour = constant initial cost + ( 1.5/1 )( cpu_utilization_os_server ^ 3) + 0.5(mem_utilization_of_server) where 0 < = cpu_utilization_os_server, mem_utilization_of_server < = 100 and constant initial cost = 100 your task is to find the minimum cost per hour for running the applications.