A multi-facility inventory problemA company has multiple facilities producing silicon chips and transportto the warehouses everymonth for further distribution. Facility i costs c; fortransportation, P; for production, h; forholding cost, and s for the set-up cost, expecting demand d; every month. Please formulate aCiPihịSiFacility 10.510.325110Facility 20.251.30.3120Facility 30.4251.10.4100Facility 40.350.31.2125linear programming problem to minimize the total annual cost.MonthDemandJan2005Feb1607Mar1056Apr1524May1780Jun2305Jul1985Aug1695Sep1357Oct1981Nov2285Dec2836Decision variables: qit number of units produced at facility i at month tXit number of units transported from facility i to the warehouse at month tYit number of units in the inventory at facility i at month t

Total cost that will occur at facility 1 which includes transportation, production, holding, and set…

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 Pi hạ 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 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

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 Pi hạ 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 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

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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:

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

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