Question 2: Linear Programing Formulation (15 marks 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 according to the Department 1 Department 2 Max production Product A 0.2 hour 0.5 hour following table: Product B Product C 0.3 hour 13 minutes on slide Total availability 85 hours 100 hours Each unit of products A, B and C contribute $54, $68 and $73 to profit respectively. To produce product A, there is a fixed cost of $800 setting up the production line which is $610 for product B and $530 fro product C. 120 0.25 hour 0.4 hour 230 0.45 hours 100 Formulate the problem (Introduce variables, objective function and constraints properly, but do not attempt to solve)