Can you please assist me with this problem..

Question 6 (10 marks) The ABC Company has contracted to produce 500 fittings next week for one of its customers. ABC has 3 machines in its machine shop that can produce the fitting, but at different variable and fixed costs. These costs and weekly production limits are shown in the table below (on the next page). The fixed cost is incurred only if ITRI618 2/3 the machine is set up to produce the fitting. Formulate (do not solve) an integer programming model to determine how to produce the 500 fittings at minimal cost. Machine Fixed set up costs Per unit production cost Weekly production limit 1 1.12 60 300 2 1.40 53 250 3 1123 50 270