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Operations Research208210 marksNumerical: Transportation problem profitMinimization and maximization of transportation costs

The table below represent the profit of a company earned from different plants to different market. Develop a transportation schedule that maximizes the profit of the company.

The table below represent the profit of a company earned from different plants to different market. Develop a transportation schedule that maximizes the profit of the company.

$$\begin{array}{|c|ccc|c|}\hline \text{Plants/Market} & M1 & M2 & M3 & \text{Supply (units)} \ \hline P1 & 22 & 25 & 24 & 170 \ \hline P2 & 15 & 20 & 18 & 130 \ \hline P3 & 30 & 21 & 20 & 100 \ \hline \text{Demand (units)} & 200 & 130 & 120 & 400/450 \ \hline \end{array}$$

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Profit matrix (units per unit shipped): Plant/Market M1 M2 M3 Supply --------------- P1 22 25 24 170 P2 15 20 18 130 P3 30 21 20 100 Demand 200 130 120 - Total Supply = $170 + 130 + 100 = 400$ - Total Demand = $200 + 130 + 120 = 450$ Since Supply (400) < Demand (450), problem is unbalanced. Add d...

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