Question 3: Linear Programing Formulation (15 Points) A division of the Winston Furniture Company thinks of making a new set of three products A B and C to be processed in two departments land 2. Each product will require a certain amount of processing time in each department (with certain availabilities) Department 1 Department 2 Max production according to this Product A 0.25 hour 0.5 hour 100 table: Product B 0.2 hour 0.4 hour Product C 0.35 hour 0.45 hour 132 15 minutes on slide Total availability 80 hours 100 hours 120 Each unit of products A, B and C contribute $60, $52 and $57 to profit respectively. To produce product A, there is a fixed cost of $850 setting up the production line which is $630 for product B and $610 fro product C. Formulate the problem (Introduce variables, objective function and constraints properly, but do not attempt to solve)