A concrete company transports concrete from three plants, 1, 2 and 3, to three construction sites,...

  

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A concrete company transports concrete from three plants, 1, 2 and 3, to three construction sites, A, B and C. The plants can supply the following quantity of concrete (in tons) per week: Plant 1 2 3 Supply (capacity) 300 300 100 The requirements of the sites, in number of tons per week, are: Construction site Demand (requirement) A B C 200 200 300 The cost of transporting 1 ton of concrete from each plant to each site is shown in the table below (in dollars per ton). mi Construction site Demand (requirement) A B C The cost of transporting 1 ton of concrete from each plant to each site is shown in the table below (in dollars per ton). Plants From 1 2 3 To A 4 200 200 300 Sites 7 4 B 3 355 5 5 C 895 How much concrete should the company ship from each plant to each construction site to fill the demand while minimizing the transportation cost? a) List and explain carefully what the decision variables are. b) Write out the objective function. c) Write out the constraints. | A concrete company transports concrete from three plants, 1, 2 and 3, to three construction sites, A, B and C. The plants can supply the following quantity of concrete (in tons) per week: Plant 1 2 3 Supply (capacity) 300 300 100 The requirements of the sites, in number of tons per week, are: Construction site Demand (requirement) A B C 200 200 300 The cost of transporting 1 ton of concrete from each plant to each site is shown in the table below (in dollars per ton). mi Construction site Demand (requirement) A B C The cost of transporting 1 ton of concrete from each plant to each site is shown in the table below (in dollars per ton). Plants From 1 2 3 To A 4 200 200 300 Sites 7 4 B 3 355 5 5 C 895 How much concrete should the company ship from each plant to each construction site to fill the demand while minimizing the transportation cost? a) List and explain carefully what the decision variables are. b) Write out the objective function. c) Write out the constraints. |

Answer rating: 100% (QA)

A The decision variable in this vase are the quantity of concrete that is transported from each plan... View the full answer