Suppose that the valves are produced in 3 work centers: 100, 200, and 300. At work center 100, molten brass is poured into the form used to shape the valve and takes 1 IE 470 Manufacturing Systems Design & Analysis Fall 2018 week. At work center 200、the holes are drilled in the valves, taking 1 more week. Finally, at work center 300, the valve is polished and the surface is graded, taking 1 more week. The final products will be ready for use. A summary of information for the work centers is given below Work Center 100 Work Center 200 Work Center 300 Machine Throughput units/planning period) 130 150 170 Perform a capacity analysis to determine if you have enough capacity to make what is required. Using the available information try to develop a feasible delivery plan that minimizes the number of late items.