Asked by Ken Xiao Xinhua on Jun 29, 2024
Verified
Consider the transportation problem in the data set and optimal solution below. Calculate improvement indices on each empty cell. Is this solution optimal? COSTS Dest. 1 Dest 2 Dest. 3 Dest. 4 Supply Source 1 1218911105 Source 2 1973015145 Source 3 810141650 Demand 80607090300/300\begin{array}{|l|r|r|r|r|r|}\hline \text { COSTS } & \text { Dest. 1 } & \text { Dest 2 } & \text { Dest. 3 } & \text { Dest. 4 } & \text { Supply } \\\hline \text { Source 1 } & 12 & 18 & 9 & 11 & 105 \\\hline \text { Source 2 } & 19 & 7 & 30 & 15 & 145 \\\hline \text { Source 3 } & 8 & 10 & 14 & 16 & 50 \\\hline \text { Demand } & 80 & 60 & 70 & 90 & 300/300 \\\hline\end{array} COSTS Source 1 Source 2 Source 3 Demand Dest. 1 1219880 Dest 2 1871060 Dest. 3 9301470 Dest. 4 11151690 Supply 10514550300/300
Shipments Dest. 1 Dest. 2 Dest. 3 Dest. 4 Row Total Source 1 300705105 Source 2 060085145 Source 3 5000050 Col. Total 80607090300\300\begin{array}{|lrrrrr|}\hline \text { Shipments } & \text { Dest. 1 } & \text { Dest. 2 } & \text { Dest. 3 } & \text { Dest. 4 } & \text { Row Total } \\\text { Source 1 } & 30 & 0 & 70 & 5 & 105 \\\text { Source 2 } & 0 & 60 & 0 & 85 & 145 \\\text { Source 3 } & 50 & 0 & 0 & 0 & 50 \\\text { Col. Total } & 80 & 60 & 70 & 90 & 300 \backslash 300 \\\hline\end{array} Shipments Source 1 Source 2 Source 3 Col. Total Dest. 1 3005080 Dest. 2 060060 Dest. 3 700070 Dest. 4 585090 Row Total 10514550300\300
Improvement Indices
Quantitative measures used to assess the performance improvement of a system or process over time.
Optimal Solution
The best possible outcome or decision that maximizes efficiency, minimizes costs, or achieves the desired goal under given constraints.
- Determine enhancement measures and identify prime solutions.
Verified Answer
ZK
Learning Objectives
- Determine enhancement measures and identify prime solutions.