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.

To From	2	3	4	5	6
1	$5	$10	$6
2		$5	$7	$10
3			$8	$8	$18
4				$9	$12

Define decision variables. ( If you define the decision variable utilizing x(ij), write for i = ? and j=? ) (2 points)

Define the constraint following nodes: (6 points each)

Node 1 (Plant 1):

Node 4 (Warehouse 2):

Node 6 (Customer 2):