Tucker

Tucker Inc. must produce 1000 Tucker automobiles. The company has four production plants. The cost of producing a Tucker at each plant, alogn with the raw material and labor needed is

Plant	Cost	Labor	Raw Material
1	15	2	3
2	10	3	4
3	9	4	5
4	7	5	6

The autoworkers' labor union requires that at least 400 cars be produced at plant 3. 3300 hours of labor and 4000 units of raw material are available for allocation to the four plants. Formulate an LP whose solution will enable Tucker Inc. to minimize the cost of producing 1000 cars.