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 according to the 0.3 hour 0.2 hour 0.55 hours Product B following table: 0.25 hour 0.25 hour 0.45 hours Total availability 95 hours 110 hours 118 hours Product A Each unit of products A contributes $42 and each unit of B contribute - $53 to profit respectively. To produce product A, there is a fixed cost of $1050 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 on slide