Question: hand written if possible, add constraints B Question 3: (14 Marks) Sand and Gravel Company provides topsoil for three residential housing developments. Topsoil can be

hand written if possible, add constraints

B Question 3: (14 Marks) Sand and Gravel Company provides topsoil for three residential housing developments. Topsoil can be supplied from three different farms as follows: Farm Weekly capacity (cubic meter) A 100 150 125 Demand for the topsoil generated by the three customers is given below: Customer Weekly demand (cubic meter) 1 50 2 150 3 300 The manager of the Sand and Gravel has estimated the cost per cubic meter to ship over each of the possible routes as follows: To From Farm A Farm B Farm C Customer 1 4 5 7 Customer 2 2 1 6 Customer 3 8 9 3 a. Draw the network diagram to represent this problem. 22 b. Formulate an LP to decide the shipment of topsoil to customers at the minimum cost. Decision variables: Objective function: 22 GE tv

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