Draw a network to represent this problem and write the algebraic representation of the objective function and constraints using the Xij notation to represent the amount going from I to j. A company has two plants and three warehouses. The first plant can supply at most 500 pounds of product and the second plant at most 200 pounds. The demand at the first warehouse is 150, at the second demand is 200, and at the third is 350. The cost of manufacturing and shipping is given as:

From Plant 1 To Warehouse 2 10.2 1 3 3 12.6 11.8 2 7 9