A multi-facility inventory problem A company has multiple facilities producing silicon chips and transportto the warehouses every month for further distribution. Facility i costs c; fortransportation,...

Extracted text: A multi-facility inventory problem A company has multiple facilities producing silicon chips and transportto the warehouses every month for further distribution. Facility i costs c; fortransportation, P; for production, h; for holding cost, and s for the set-up cost, expecting demand d; every month. Please formulate a Ci Pi hị 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 0.35 0.3 1.2 125 linear programming problem to minimize the total annual cost. Month Demand Jan 2005 Feb 1607 Mar 1056 Apr 1524 May 1780 Jun 2305 Jul 1985 Aug 1695 Sep 1357 Oct 1981 Nov 2285 Dec 2836 Decision variables:


Extracted text: qit number of units produced at facility i at month t Xit number of units transported from facility i to the warehouse at month t Yit number of units in the inventory at facility i at month t