A multi-facility inventory problem A company has multiple facilities producing silicon chips and transport to the warehouses every month for further distribution. Facility i costs for transportation, pe for production, h for holding cost, and si for the set-up cost, expecting demand de every month. Please formulate a linear programming problem to minimize the total annual cost. CE PL he SI Facility 1 0.5 1 0.325 110 Facility 2 0.25 1.3 0.3 120 Facility 3 0.425 1.1 0.4 100 Facility 4 0.3 1.2 0.35 125 Month Jan Feb Mar Apr May Jun Demand 2005 1607 1056 1524 1780 2305 1985 1695 1357 1981 2285 2836 Jul Aug Sep Oct Nov Dec Decision variables: qit number of units produced at facility i at month | Xit number of units transported from facility i to the warehouse at month Yit number of units in the inventory at facility i at month t A multi-facility inventory problem A company has multiple facilities producing silicon chips and transport to the warehouses every month for further distribution. Facility i costs for transportation, pe for production, h for holding cost, and si for the set-up cost, expecting demand de every month. Please formulate a linear programming problem to minimize the total annual cost. CE PL he SI Facility 1 0.5 1 0.325 110 Facility 2 0.25 1.3 0.3 120 Facility 3 0.425 1.1 0.4 100 Facility 4 0.3 1.2 0.35 125 Month Jan Feb Mar Apr May Jun Demand 2005 1607 1056 1524 1780 2305 1985 1695 1357 1981 2285 2836 Jul Aug Sep Oct Nov Dec Decision variables: qit number of units produced at facility i at month | Xit number of units transported from facility i to the warehouse at month Yit number of units in the inventory at facility i at month t