Question and on Linear Programing Formulation A division of the Winston Furniture Company thinks of taking a new set of three products (15 Points) "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 table: Product B 0.2 hour 0.4 hour Product C 0.35 hour 0.45 hour 15 minutes on slide Total availability 80 hours 100 hours 100 120 132 a Each unit of products A, B and C contribute $60, $52 and $57 to profit respectively. Te produce product A, there is a fixed cost of $850 setting up the production line which is $630 product B and $610 fro product C. Formulate the problem (Introduce variables, objective function and constraints properly, but not attempt to solve)