Using the DET2TL program, recommend the most profitable configuration of a two-machine deterministic processing time line. The machines are the same. Now, there is no target production rate. Instead, we want to maximize the profit rate. The profit rate is defined as the rate of revenue minus the rate of costs. To simplify this greatly in this case, we will assume that the revenue per part is $10,000. Therefore, the rate of revenue is $10000P per minute, where P is the production rate in parts per minute. The only costs we consider is the inventory holding cost, which is $10 per part in the buffer per minute, or $107. Therefore, we must chose the version of the first machine and the buffer size to maximize10000P - 10 Part 1 Let's access line M11 M2 first. Only use integer N for input. a) What is the optimal profit rate? b) What is the optimal N? Part 2 Let's access line M12 - M2 first. Only use integer N for input. a) What is the optimal profit rate? b) What is the optimal N? Part 3 a) What is the production rate of the optimal line?