please solve manually and show full solution

3. An oil company in the Middle East produces oil at two wells. Well 1 can produce as many as 150,000 barrels per day, and well 2 can produce as many as 200,000 barrels per day. It is possible to ship oil directly from the wells to its customers, Cl and C2. Alternatively, the company could transport oil to two ports, Pl and P2, and then ship it by tanker to Ci or C2. C2 requires 160,000 barrels per day, and Cl requires 140,000 barrels per day. The costs of shipping 1000 barrels between two points are shown below. Shipping cost ($ / 1000 barrels) shipments are not allowed in these cases To el From Well 1 Well 2 P1 P2 NY LA Well 1 0 10 13 25 28 Well 2 0 15 12 26 25 P1 0 6 16 17 P2 6 0 14 16 IC NY 0 15 12 LA 15 0 * * * * * * * * * * Formulate the transshipment problem, and find a starting solution using each of the following methods. Determine the total shipping cost for each starting solution. Least Cost Method b. Vogel's Approximation Method c. Northwest Corner Method a. 3. An oil company in the Middle East produces oil at two wells. Well 1 can produce as many as 150,000 barrels per day, and well 2 can produce as many as 200,000 barrels per day. It is possible to ship oil directly from the wells to its customers, Cl and C2. Alternatively, the company could transport oil to two ports, Pl and P2, and then ship it by tanker to Ci or C2. C2 requires 160,000 barrels per day, and Cl requires 140,000 barrels per day. The costs of shipping 1000 barrels between two points are shown below. Shipping cost ($ / 1000 barrels) shipments are not allowed in these cases To el From Well 1 Well 2 P1 P2 NY LA Well 1 0 10 13 25 28 Well 2 0 15 12 26 25 P1 0 6 16 17 P2 6 0 14 16 IC NY 0 15 12 LA 15 0 * * * * * * * * * * Formulate the transshipment problem, and find a starting solution using each of the following methods. Determine the total shipping cost for each starting solution. Least Cost Method b. Vogel's Approximation Method c. Northwest Corner Method a