QUESTION 3: Linear Programming (12 POINTS) X and Y Manufacturing would like to minimize the human power cost of producing machine motors for a major appliance manufacturer. Although two models of motors exist, the finished models are indistinguishable from one another, their cost difference is due to a different production sequence. The time in hours required for each model in each production area is tabled here, along with the labor cost. Model 1 Model 2 5 14 Area A Area B Area C Cost 13 9 6 65 9 80 Currently labor assignments provide for 10,000 hours in each of Areas A and B and 18000 hours in Area C. If 2000 hours are available to be transferred from area B to Area A, 3000 hours are available to be transferred from area C to either Areas A or B. a) What is the objective function? (The function to be optimized?) b) What are the constraints