| course |
course_year |
question_number |
tags |
title |
year |
Optimization |
IB |
72 |
|
2.I.9H |
2008 |
Goods from three warehouses have to be delivered to five shops, the cost of transporting one unit of good from warehouse $i$ to shop $j$ being $c_{i j}$, where
$$C=\left(\begin{array}{ccccc}
2 & 3 & 6 & 6 & 4 \\
7 & 6 & 1 & 1 & 5 \\
3 & 6 & 6 & 2 & 1
\end{array}\right)$$
The requirements of the five shops are respectively $9,6,12,5$ and 10 units of the good, and each warehouse holds a stock of 15 units. Find a minimal-cost allocation of goods from warehouses to shops and its associated cost.