Please formulate an integer programming model

Question 6 (10 marks) The ABC Company has contracted to produce 500 fittings next week for one of its customers. ABC ha machines in its machine shop that can produce the fitting, but at different variable and fixed costs. These co and weekly production limits are shown in the table below (on the next page). The fixed cost is incurred on ITRI618 the machine is set up to produce the fitting. Formulate (do not solve) an integer programming model determine how to produce the 500 fittings at minimal cost. Machine Per unit production cost Fixed set up costs Weekly production limit 1 1.12 60 300 2 1.40 53 250 3 1.23 50 270