BUSN 6250 Optimization techiniques

Page 2of 3Tab #2 • Dog River Christmas Carnival Every year in Dog River,Saskatchewan they hold a Christmas Carnival. It can get quite boisterous, so over at the Dog River Police Department, DavisQuintonhas asked KarenPelly(who in turn has asked you) to prepare a security detail schedule for the Carnival.Seasonal security staff are hired to work two 6-hour shifts chosen from 12 am to6 am, 6 am to 12 pm, 12 pm to 6 pm, and 6 pm to 12 pm. The following number of security staff are needed during each shift: 12 am to 6 am —15 staff, 6 am to 12 pm —5 staff, 12 pm to 6 pm —12 staff, and 6 pm to 12 am —6 staff. Workers whose two shifts are consecutive are paid 12 $/hr, while staff whose shifts are not consecutive are paid an additional 6 $/hr premium on top of the usual wage.The Dog River Christmas CarnivalOrganizing Committee (DRCCOC) wants to provide the required security coverage while minimizing the overall cost. ?In a Text Box on your worksheet tab, type out the decision variables, objective function, and constraints. Solvethe problem of course, then ?interpret the findings with a short summary (sentence or two)that Karen can give to Davis to give to Fitzy (the Mayor of Dog River)about how to meet the staffing requirements. Tab #3 •Performance Lawn EquipmentYou’ll find this case on page 56 of the “Chapter 14 • Applications of Linear Optimization” (1-ApplicationsOfLinearOptimization.pdf) textbook chapter inthe Resourcessection atMoodle. It starts out...Elizabeth Burke wants to develop a model to more effectively plan production for the next year. Currently, PLE has a planned capacity of producing 9,100 mowers each month, which is approximately the average monthly demand over the previous year. However, looking at the unit sales figures for the previous year, she observed that the demand for mowers has a seasonal fluctuation, so with this "level" production strategy, there is overproduction in some months, resulting in excess inventory buildup and underproduction in others, which may result in lost sales during peak demand periods.Page 3of 3The decision variables are given in the narrative, as is the overall objective. Likewise the three constraints for the problem are also given in terms of the decision vari