Please use the attachments and answer parts A-E for question 4

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 the Table below. 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.: Labor Raw Material TABLE Cost and Requirements for Producing a Tucker Cost Plant On Thousands of Dollars) 1 15 2 10 3 9 4 7 3 2 3 4 5 5 6 To Formulate an LP whose solution will enable Tucker Inc. to minimize the cost of producing 1,000 cars. Let x; - number of cars produced at plant i. Then, expressing the objective function IN THOUSANDS OF DOLLARS, the appropriate LP is: LP MODEL: TITLE Minimize the cost of producing IN THOUSANDS OF DOLLARS MIN 15 X1 + 10 X2 + 9 X3 + 7 X4 SUBJECT TO CAR LIMIT) X1 + X2 + x3 + X4 = 1000 P3_LIMIT) X3 > 400 LABOR H) 2 X1 + 3 X2 + 4 X3 + 5 X4 = 3300 RAW MAT 3 X1 + 4 X2 + 5 X3 + 6 X4