Final answer:
To solve this as a balanced transportation problem, the total supply must equal the total demand. The total supply for Destination #1 is 154 units.
Step-by-step explanation:
To solve this as a balanced transportation problem, the total supply must equal the total demand. To find out how many units must be delivered from Destination #1, we need to calculate the total supply and demand for each destination. The total supply for Destination #1 is the sum of the supply in each cell in the first row, which is 25 + 35 + 34 + 60 = 154 units. Therefore, 154 units must be delivered from Destination #1 for this to be solved as a balanced transportation problem.
For the transportation problem to be balanced, the total supply must equal the total demand. With the given supplies summing to 40 units and a partial demand total of 28 units, the number of units needed at Destination #1 to balance the problem is 12 units.
The transportation problem data provided indicates that we have three suppliers with supplies of 15, 15, and 10 units respectively, and the demand at destinations not fully provided in the question. To solve the problem as a balanced transportation problem, the total supply must equal the total demand. The total supply available is 15 + 15 + 10 = 40 unit.
Since we do not have the complete demand data, for the problem to be balanced, the sum of the demand at all destinations must also equal 40 units. If the provided demand so far is 8 + 7 + 13 = 28 units, then the remaining demand at Destination #1 needed to balance the problem is 40 - 28 = 12 units.