Your Trigger constraint contains a product of decision variables and hence is nonlinear. Also, it is redundant because the left hand side is a sum of nonnegative summands. If you remove this constraint, the MILP solver will return an optimal solution with InspectDecision[j] = 0 for all j.
What logical condition on the other decision variables do you want to force InspectDecision[j] = 1?
I wanted to enfore that the trigger was 1 and multipled by the fixed cost for any of the Ts facilities that received any shipments at all.
In other words, you want inflow[i,j] > 0 to force InspectDecision[j] = 1. Hint: You can do that by introducing InspectDecision[j] into the xMaxP constraint while keeping that constraint linear.
I figured it out, thank you so much for your help
@m3lon00, did you purposely delete your question statement?
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