100 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 cach department (with certain availabilities) Department 1 Department 2 Max production according to the Product A 0.25 hour 0.5 hour Product B 0.2 hour 0.4 hour 180 following table: Product 0.45 hour 110 Total availability 80 hours 100 hours 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. 15 minutes on slide 0.35 pour a Formulate the problem (Introduce variables, objective function and constraints properly, but do not attempt to solve)