Tucker Inc. needs to produce 1,000 Tucker automobiles. The company has four production plants. Due to differing workforces, technological advances, and so on, the plants differ in the cost of producing each car. They also use a different amount of labor and raw material at each. This is summarized in the following table :

	COST	LABOR	MATERIAL
PLANT 1	15,000	2	3
PLANT 2	10,000	3	4
PLANT 3	9,000	4	5
PLANT 4	7,000	5	6

The labor contract signed requires at least 400 cars to be produced at plant 3; there are 3,300 hours of labor and 4,000 units of material that can be allocated to the four plants.

Questions :

The cost of manufacturing each car is not currently defined :

a)make a parametric analysis of that cost,

b)find the TOTAL cost of the company for any cost of production at that plan