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The given transportation problem consists of a cost matrix, supply, and demand constraints. The Matrix Minima Method is a heuristic approach to find the Initial Basic Feasible Solution (IBFS) by allocating to the lowest cost cells first. Let's solve it step by step. ### Step 1: Construct the Cost Matrix with Supply and Demand The given transportation table: | Supply \ Demand | 20 | 30 | 50 | 50 | Supply | |--------------|----|----|----|----|--------| | Source 1 | 4 | 6 | 8 | 8 | 40 | | Source 2 | 6 | 8 | 6 | 7 | 60 | | Source 3 | 5 | 7 | 6 | 8 | 50 | | Demand | 20 | 30 | 50 | 50 | | ### Step 2: Matrix Minima Method The Matrix Minima Method involves: 1. Identifying the minimum cost cell. 2. Allocating the minimum of supply or demand to that cell. 3. Updating the remaining supply and demand. 4. Repeating the process until all supply and demand are satisfied. #### Allocations: 1. Minimum cost = 4 (Cell 1,1) - Allocate 20 (min of _________ ___ ___ ________ __________ _____ _________.
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