A concrete company transports concrete from their three plants in N.- town, F. -town and T.- town to their three construction sites in O.- site, P.- site and K. -site. The supply capacities of the three plants, the demand requirements at the three sites, and the transportation costs per ton are as follows: Construction Site Plant O.- site P.- site K. -site Supply(tons) N. town GHs 8 GHs 5 GHs 6 GHs 120 F. town 15 10 12 80 T. town 3 9 10 80 Demand(tons) 150 70 100 280 a) Establish the decision variables for this transportation problem. b) Develop a network graph showing all costs and decision variables. c) i. Formulate the mathematical model that will be used to solve the problem on a computer ii. Fine the initial feasible solution using the Northwest Corner Rule and the total cost
A concrete company transports concrete from their three plants in N.- town, F. -town and T.- town to their three construction sites in O.- site, P.- site and K. -site. The supply capacities of the three plants, the demand requirements at the three sites, and the transportation costs per ton are as
follows:
Construction Site
Plant O.- site P.- site K. -site Supply(tons)
N. town GHs 8 GHs 5 GHs 6 GHs 120
F. town 15 10 12 80
T. town 3 9 10 80
Demand(tons) 150 70 100 280
a) Establish the decision variables for this transportation problem.
b) Develop a network graph showing all costs and decision variables.
c) i. Formulate the mathematical model that will be used to solve the problem on a computer
ii. Fine the initial feasible solution using the Northwest Corner Rule and the total cost
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