(See attached file for full problem description)
A logistics specialist for Wiethoff Inc. must distribute cases of parts from 3 factories to 3 assembly plants. The monthly supplies and demands, along with the per-case transportation costs are:
Destination Assembly Plant
1 2 3 Supply
Source A 5 9 16 200
Factory B 1 2 6 400
C 2 8 7 200
Demand 120 620 60
What are the supply constraints for the factories?© BrainMass Inc. brainmass.com June 3, 2020, 6:44 pm ad1c9bdddf
LP for the above model is
xa1 be the quantity shipped from factory A to assembly plant 1. Similarly we have
xa2, xa3, xb1, xb2, xb3, xc1, xc2, and xc3
Min: 5 xa1+ 9xa2+ 16xa3+1 xb1+2xb2+6xb3+2xc1+8xc2+7xc3
As it is the case of balanced transportation problem, constraints are
xa1+ xb1+ ...
Word file contains optimal solution and hints for the transportation problem.