Nash Auto has two plants (node numbers 1 and 2), two warehouses (node numbers 3 and 4), and two customers (node numbers 5 and 6). Cars are produced at plants, shipped to warehouses, and finally to customers. Plant 1 produces 300 cars per week, and Plant 2 produces 400 cars per week. And customer 1 (node number 5) requires 250 cars per week, and customer 2 (node 6 ) requires 150 cars. The costs of shipping a car between nodes are listed in the table. 1. Define decision variables. ( If you define the decision variable utiking x (ij), write for i=? and j= ? ) (2 points) 2. Define the constraint tollowing nodes: 6 points oach) a. Node 1 (Plant 1): b. Node 4 (Warehouse 2): c. Node 6 (Customer 2)