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 2 according to the 0.1 hour 0.3 hour following table: Department 1 Product A Product 8 0.5 hour 0.1 hour Product C 0.2 hour 0.4 hour Total availability 70 hours 90 hours Each unit of products A, B and C contribute $60, $49 and $52 to profit respectively. To produce product A, there is a fixed cost of $650 setting up the production line which is $430 for product B and $510 product C. We cannot produce more than 80 of Product A, 100 of product B and 70 of product C. 10 minutes on slide Formulate the problem (Introduce variables, objective function and constraints properly, but do not attempt to solve)