Question 3: Linear Programing Formulation (15 Points) A division of the Winston Furniture Company thinks of making a new set of two products "A" and B to be processed in three departments 1, 2 and 3. Each product will require a certain amount of processing time in each department (with certain availabilities) Department 1 Department 2 Department 3 0.3 hour 0.2 hour 0.55 hours Product A 0.45 hours 0.25 hour 0.25 hour Product B 118 hours according to the following table: 110 hours 95 hours Total availability Each unit of products "A" contributes $42 and each unit of "B" contributes 653 to profit respectively. To produce product A, there is a fixed cost of S1050 setting up the production line which is $980 for product B. We cannot produce more than 100 of Product A and 110 of product B Formulate the problem (Introduce variables, objective function and constraints properly, but do not attempt to solve) 10 minutes or slide