56. The capacity of the 2 suppliers and the shipping cost pe…

56. The cаpаcity оf the 2 suppliers аnd the shipping cоst per unit (in $) frоm each supplier to each plant are as follows.Supplier              Supplier’s Capacity         Plant 1                Plant 2      1                              800                           $ 8                     $9      2                              900                           $12                    $5Plant capacities and shipping costs per unit (in $) from each plant to each customer are as follows. Customer demand and shipping costs per unit (in $) from each plant to each customer are as follows. Plant        Customer 1     Customer 2      Plant Capacity     1                  $10                    $5                        300     2                  $ 3                    $7                      1800_____ Demand         600                  400____Based on the information above, define the node numbers as follows:               Supplier1    Supplier2    Plant1  Plant2    Customer1  Customer2Node#        1                  2                3           4                  5                6_____Define the decision variables as follows:Xij = Number of units shipped from node i to node j, where i = 1, 2, 3, 4 and j = 3, 4, 5, 6.Yi = 1 if selected and 0 otherwise, where i=1,2,3,4a)      Define all constraints for Supplier 2 (Node #2) (4 pts)b)      Defien all constraints for  plant 1 (Node#1)  (4 pts)