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 three departments 1, 2 and 3. Each product will require a certain amount of processing time in each department (with certain availabilities) Department 1 Department 2 Department 3 according to the Product A 0.25 hour 0.5 hour 0.5 hour following table: Product B 0.2 hour 0.4 hour 0.35 hour Product C 0.45 hour 0.2 hour Total availability 80 hours 100 hours 75 hours 0.35 hour Each unit of products "A", "B" and "C" contribute $95, $72 and $83 to profit respectively. To produce product A, there is a fixed cost of $1050 setting up the production line which is $940 for product B. Product C is already being produced, so there is no fixed cost associated with it. Formulate the problem (Introduce variables, objective function and constraints properly, but do not attempt to solve) 10 minutes on slide