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 according to the following table: Product A 0.2 hour 0.5 hour Products 0.25 hour 0.4 hour Productc 0.3 hour 0.45 hour Total availability 85 hours 100 hours Each unit of products "A", "B" and "C" contribute $50, 859 and $56 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. We cannot produce more than 80 of Product 1, 100 of product 2 and 70 of product 3. 15 minutes on slide Formulate the problem (Introduce variables, objective function and constraints properly, but do not attempt to solve)