Question
*Please include Spreadsheets and formulas, if applicable* The distribution system for the Herman Company consists of three plants, two warehouses, and four customers. Plant capacities
*Please include Spreadsheets and formulas, if applicable*
- The distribution system for the Herman Company consists of three plants, two warehouses, and four customers. Plant capacities and shipping costs per unit (in $) from each plant to each warehouse are as follows
Warehouse |
| ||
Plant | 1 | 2 | Plant Capacity |
A | 5 | 7 | 470 |
B | 8 | 5 | 610 |
C | 5 | 6 | 400 |
Customer demand and shipping costs per unit (in $) from each warehouse to each customer are as follows:
Customer | ||||
Warehouse | Nikki | Greg | Tommy | Vincent |
1 | 6 | 3 | 8 | 4 |
2 | 3 | 6 | 7 | 7 |
Customer Demand | 300 | 350 | 300 | 400 |
- Formulate a linear programming model of this transshipment problem. Write it below.
- Solve the linear program to determine the optimal shipping plan and write it below. What is the minimal shipping cost?
Start Node End Node Units shipped
1 4 _____________
1 5 ____________
2 4 ____________
2 5 ____________
3 4 _____________
3 5 ____________
4 6 _____________
4 7 _______________
4 8 _____________ Total Cost=_____________________
4 9 _____________
5 6 ______________
5 7 ______________
5 8 ______________
5 9 ______________
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started