Question 4: 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 Product A 0.25 hour 0.5 hour 0.2 hour Product B 0.2 hour 0.4 hour 0.15 hour following table: Total availability 80 hours 100 hours 75 hours Each unit of product A contributes $50 to profit, and each unit of product B contributes $35 to profit. To produce product A, there is a fixed cost of $850 setting up the production line which is $630 for product B. Formulate the problem (Introduce variables, objective function and constraints properly, but do not attempt to solve) 15 minutes on slide