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Management asks you to assist the production scheduler in model development. (a) Using these variables, develop a constraint for each month that will satisfy the following demand requirement. (BeginningInventory)+(CurrentProduction)(EndingInventory)=(ThisMonthsDemand) May x1s1=200 June s1+x2s2=600 July s2+x3s3=600 August s3+x4=600 xi,si0,i=1,2,3,4 and dpi be the deviation variable above the target value of goal i for i=1,2,3.) May to June Your answer(s) should be in the form of expression(s). June to July July to August xi,si,dpi,dni0,i=1,2,3,4 and July. (Let dni be the deviation variable below the target value of goal i, and dpi be the deviation variable above the target value of goal i for i=4,5,6 ) May Your answer(s) should be in the form of expression(s). June July si,dpjdnj0,i=1,2,3andj=4,5,6 (d) In addition to the goal equations developed in parts (b) and (c), develop constraints for the production capacities for each month. May June July x3800 August xi0,i=1,2,3,4 parts (a) - (d), can be used to determine the best production schedule. Develop and solve a goal programming model to determine the best production schedule. Min What is the optimal solution to the goal programming model? (x1,x2,x3,x4,s1,s2,s3,s4)=([x(B))