Question

MW is a large discount store that operates seven days per week. The store needs the following number of full-time employees working each day of the week. Sunday Monday Tuesday Wednesday Thursday Friday Saturday # of Employees 188 88 112 140 136 172 212 Each employee must work five consecutive days each week and then have two days off. For example, any employee who works Sunday through Thursday has Friday and Saturday off. The store currently has a total of 200 employees available to work. MW has developed the following set of prioritized goals for employee scheduling. The store would like to avoid hiring any additional employees. The most important day for the store to be fully staffed is Saturday, followed by Sunday, followed by Friday. The store would like to fully staff the remaining four days of the week Use preemptive goal programming to determine MW employee scheduling for the week. If each employee costs $800, each missing employee on Saturday costs $600, on Sunday $400, on Friday $300, and on Monday through Thursday $200 determine the new schedule which minimizes these costs (assuming there are no other priorities among the goals). "IN EXCEL"

Answer 1

So, forming an LP with decision variable as the day of starting their work on specific day as x1, x2 x3..x7 starting from Sunday respectively.

Attached one clearly indicates the formulation.Now forming the LP equation,

Now on solvinf the equation the answer is in green shade for daying working .