The image you uploaded appears to show a transportation problem matrix, where the objective is to determine how to allocate goods from three origins (O1, O2, O3) to three destinations (D1, D2, D3) in a way that minimizes the total transportation cost. The costs associated with transporting goods are shown in the matrix, and there are given supply and demand values for each origin and destination.

Here’s the breakdown:

• Origins:

  • O1 has a supply of 70
  • O2 has a supply of 30
  • O3 has a supply of 50

• Destinations:

  • D1 has a demand of 65
  • D2 has a demand of 42
  • D3 has a demand of 43

• Transportation Costs:

  • From O1 to D1: 5, From O1 to D2: 7, From O1 to D3: 8
  • From O2 to D1: 4, From O2 to D2: 4, From O2 to D3: 6
  • From O3 to D1: 6, From O3 to D2: 7, From O3 to D3: 7

To solve this transportation problem, we typically use the Northwest Corner Rule, Least Cost Method, or VAM (Vogel's Approximation Method) to find an initial feasible solution. We then use methods like MODI Method or Stepping Stone Method to optimize the solution further.

Would you like me to solve it using a specific method, or should I proceed with the Least Cost Method to find an initial solution?