Word Count : 1223

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Alright, let’s carefully restate the problem from what’s given in the image. From the table in the question: Sources: I, II, III Destinations: 1, 2, 3, 4 Supply: - I: 70 - II: 38 - III: appears from the structure, maybe 32 (since total demand = total supply, we can find it). Demand: D1 = 40, D2 = 28, D3 = 30, D4 = 42 Check total demand = \( 40 + 28 + 30 + 42 = 140 \). If only I and II have given supply, they give \( 70 + 38 = 108 \), so III supply = \( 140 - 108 = 32 \). Yes, that matches the “32” in the table under III’s availability. --- Cost matrix from table (rows I, II, III; columns 1, 2, 3, 4): \[ \begin{bmatrix} 4 & 2 & 3 & 3 \\ 2 & 4 & 1 & 1 \\ \ ?_1 & ?_2 & ?_3 & ?_4 \end{bmatrix} \] The question says: Row I: 40 (under column 1), 2 (col 2), 3 (col 3), 3 (col 4), Availability 70 → Here there’s a discrepancy: that "40" is too large to be a cost, it might be the allocation? Possibly the table shows initial basic feasible solution allocations in each cell with costs written somewhere else or top-left in cell? Actually, reading: in the table, the first row says: | I | 1 | 2 | 3 | 4 | Availability | |---|---|---|---|---|---| ___ __________ ________ _______ ____ ______.
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