Tucker Inc. must produce 1,000 Tucker automobiles. The company has four production plants. The cost of producing a Tucker at each plant, along with the raw material and labor needed, is shown in Table 3.

The autoworkers’ labor union requires that at least 400 cars be produced at plant 3;
3,300 hours of labor and 4,000 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 1,000 cars.

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MAX 4 X1 + 6 X2 + 7 X3 +8 X4 SUBJECT TO 2) X1 + X2 + X3 + X4 = 950 3) X4 >= 400 4) 5) 2 x1 + 3 X1 + 3 X2 + 4 4 X2 + 5 X3 + 7 X3 + 6 X4