#************************************************************************ # Incrediblex Chairs 2 assignment, Simple LP using JuMP using HiGHS #************************************************************************ #************************************************************************ # Data Chairs=["A", "B", "C", "D", "E", "F", "G", "H", "I", "J"] C=length(Chairs) ProductionLines=[1, 2, 3, 4, 5] P=length(ProductionLines) Profit=[6, 5, 9, 5, 6, 3, 4, 7, 4, 3] Capacity=[47, 19, 36, 13, 46] RecourseUsage=[ 6 4 2 3 1 10 2 9 3 5; 5 6 1 1 7 2 9 1 8 6; 8 10 7 2 9 6 9 6 5 6; 8 4 8 10 5 4 1 5 3 5; 1 4 7 2 4 1 2 3 10 1] #************************************************************************ #************************************************************************ # Model IC2 = Model(HiGHS.Optimizer) @variable(IC2,x[1:C]>=0) @objective(IC2, Max, sum( Profit[c]*x[c] for c=1:C ) ) # Production lines @constraint(IC2, [p=1:P], sum( RecourseUsage[p,c]*x[c] for c=1:C) <= Capacity[p] ) #************************************************************************ #************************************************************************ # Solve solution = optimize!(IC2) println("Termination status: $(termination_status(IC2))") #************************************************************************ #************************************************************************ if termination_status(IC2) == MOI.OPTIMAL println("Optimal objective value: $(objective_value(IC2))") for c=1:C if value(x[c])>0.001 println("No of chairs of type ", Chairs[c], " produceed: ", value(x[c])) end end else println("No optimal solution available") end #************************************************************************