linear programming

5. (10 pts) Tucker Auto can sell no more than 1000 cars a month. They have four production plants. The cost of producing a car at each plant, along with raw material and labor is given in the table. The autoworkers union requires 200 cars to be completed at plant 1 and 200 at plant 2. Tucker has 3300 hours to spend and 4000 units of raw materials to use at all plants. Cost (thousands of Raw S) Labor Material Plant 1 15 2 3 Plant 2 10 3 Plant 3 5 Plant 4 7 Tucker can sell all cars for $18,000. a) If Tucker wants to maximize profits, write out the standard format of the problem. (2 pts) 4 9 4 5 6 b) What is the production mix? What is the profit? (2 pts) c) What is the reduced cost of plant 3? What does this mean? (3 pts) d) What is shadow price of raw materials? What this mean? (3 pts) 5. (10 pts) Tucker Auto can sell no more than 1000 cars a month. They have four production plants. The cost of producing a car at each plant, along with raw material and labor is given in the table. The autoworkers union requires 200 cars to be completed at plant 1 and 200 at plant 2. Tucker has 3300 hours to spend and 4000 units of raw materials to use at all plants. Cost (thousands of Raw S) Labor Material Plant 1 15 2 3 Plant 2 10 3 Plant 3 5 Plant 4 7 Tucker can sell all cars for $18.000. a) If Tucker wants to maximize profits, write out the standard format of the problem. (2 pts) 4 9 4 5 6 b) What is the production mix? What is the profit? (2 pts) c) What is the reduced cost of plant 3? What does this mean? (3 pts) d) What is shadow price of raw materials? What this mean? (3 pts)