Products made in the three factories, F1, F2 and F3 are shipped to the four shops,...

 

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Products made in the three factories, F1, F2 and F3 are shipped to the four shops, S1, S2, S3 and S4. The supply at each factory and the quantity demanded at each shop are shown in the table below together with the cost of transporting a unit of product from a particular factory to a specified shop. S2 4 5 3 70 Cost matrix The factories F1,F2 and F3 produce 150, 120 and 130 units respectively. The shops S1, S2, S3 and S4 require 160, 70, 140 and 30 units respectively. The cost of transporting a unit of product from say F2 to 53 is $8 while the cost of transporting a unit from F1 to S4 is $6, and so forth. What is the smallest cost of satisfying the demand at the four shops? Factories F1 F2 F3 Demand Shipping cost per unit ($) Shops S1 5 5 3 160 S3 7 8 6 140 S4 6 4 5 30 Supply 150 120 130 Products made in the three factories, F1, F2 and F3 are shipped to the four shops, S1, S2, S3 and S4. The supply at each factory and the quantity demanded at each shop are shown in the table below together with the cost of transporting a unit of product from a particular factory to a specified shop. S2 4 5 3 70 Cost matrix The factories F1,F2 and F3 produce 150, 120 and 130 units respectively. The shops S1, S2, S3 and S4 require 160, 70, 140 and 30 units respectively. The cost of transporting a unit of product from say F2 to 53 is $8 while the cost of transporting a unit from F1 to S4 is $6, and so forth. What is the smallest cost of satisfying the demand at the four shops? Factories F1 F2 F3 Demand Shipping cost per unit ($) Shops S1 5 5 3 160 S3 7 8 6 140 S4 6 4 5 30 Supply 150 120 130

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The image appears to contain a transportation problem which is a type of optimization problem solved using linear programming techniques To find the s... View the full answer