business decision analysis course

Question 1; Linear Programing Form A division of the Winston Furniture Company thinks of making a new set of and "H" 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 D.A. hour 0.79 hour 0.25 hour 0.45 hours following table: Product # Total availability 110 hours 118 hours Each unit of products "A" contributes $42 and each unit of "B" contributes $53 to profit respectively. To produce product A, there is a fixed cost of $1050 setting up the production line which is $980 for product B. We cannot produce more than 100 of Product A and 110 of product H Formulate the problem (Introduce variables, objective function and constraints properly, but do not attempt to solve) 10 minutes on slide