1. **State the problem:** We need to fill the transportation table using the West-Left Corner Rule, which allocates supplies to demands starting from the top-left corner and moving right or down. 2. **Understand the table:** - Rows F1, F2, F3 represent supply points with unknown or given supply values. - Columns W1, W2, W3 represent demand points with given demands. - The arrows (⏷) indicate cells to be filled. 3. **Given data:** - F2 supply = 30 - F3 supply = 25 - W2 demand = 10 - W3 demand = unknown but partially given 4. **Apply West-Left Corner Rule:** - Start at top-left cell (F1, W1): allocate as much as possible. - Since supply and demand are unknown here, we use the arrows to guide. 5. **Fill W1 demand:** - From bottom row, W1 demand is unknown but total supply and demand must balance. 6. **Calculate missing supplies and demands:** - Total supply = F1 + F2 + F3 - Total demand = W1 + W2 + W3 - Given F2=30, F3=25, W2=10, W3 unknown 7. **Allocate step-by-step:** - F1, W1: allocate 20 (assumed to balance supply/demand) - F1, W2: allocate 10 (given) - F1 supply = 30 (20+10) - F2, W1: allocate 0 (given) - F2, W2: allocate 10 (given) - F2, W3: allocate 20 (30-10) - F3, W3: allocate 25 (given) - W1 demand = 20 (from F1) - W2 demand = 10 (given) - W3 demand = 45 (20+25) 8. **Final table:** | | W1 | W2 | W3 | Supply | |------|----|----|----|--------| | F1 | 20 | 10 | 0 | 30 | | F2 | 0 | 10 | 20 | 30 | | F3 | 0 | 0 | 25 | 25 | | | 20 | 10 | 45 | | **Answer:** The table is filled as above using the West-Left Corner Rule.