The image you uploaded seems to represent a transportation problem, with a matrix detailing the costs, supplies, and demands. The transportation problem typically involves finding the most cost-effective way to transport goods from multiple sources to multiple destinations.

The matrix shows:

• The supply values from different sources $F_1$, $F_2$, and $F_3$ in the first column.
• The demand values for destinations $M_1$, $M_2$, $M_3$, $M_4$, and $M_5$ in the last row.
• The costs of transportation between each source and destination in the cells of the matrix.

Here’s a quick breakdown of the data provided:

To solve this transportation problem, we need to find the optimal allocation of shipments from sources to destinations that minimizes the total transportation cost while satisfying both supply and demand constraints.

Would you like me to guide you through solving this transportation problem step by step, or is there a specific part of the problem you'd like help with?

Additional Related Questions:

1. How do you solve transportation problems using the least cost method?
2. What are the steps to check for optimality in a transportation problem?
3. How do you formulate a transportation problem as a linear programming model?
4. What is the stepping stone method used in transportation problems?
5. How do you calculate the total transportation cost once an optimal solution is reached?

Tip: Start by checking if the total supply matches the total demand; if they don’t match, adjustments need to be made (either by adding a dummy supply or dummy demand).