(1 point) (Book: 3.5 problem 7) Each hour from 10 A.M. to 7PM, Big Bank receives checks and must process them. its goal is to process all the checks the same day they are received. The bank has 13 check-processing machines, each of which can process up to 500 checks per hour. It takes one worker to operate each machine. Bank One hires both full-time and part-time workers. Full-time workers work 10 A.M.-6 PM. 11 A. M. 7 PM. Noon-8 PM and are paid $160 per day. Part-time workers work either 2 P.M.7 PM. or 3 PM -8 PM. and are paid $75 per day. The number of checks feceived each hour is given in the Table below in the interest of maintaining continuify. Big Bank requires it must have at least three funt-me workers under contract Set up the LP and soive to determine the minimal cost schedule that processes all checks by 8PM. For simplicity we allow fractional numbers of employees. The minimum labor cost subject to the conditions is This one needs a hint the decision variables need to be at a minimum a variable for how many ful-tme employees start at each permitted starting time and similarly for part-time empioyees. This wit already give your cost (objective) function. But, to more easily express the many constraints, it is heipful (and pertectly alomed) to introduce many other decision varable. For example, let Pi denote the number of checks that get processed in the hour starting at time i Also let f (for inventory) denote the number of checks that have arrved up to and including time i that have not yet been processed. We don't need I10 but notice that I11=5000P10 would be one of the constraints, and for all i. Pi 6500 is a constraint Another constraint is that the number of checks processed depends on how many employees are working