Q. Consider a 6-machine flow line where a single job goes through in batches of 100 units. i. What is the makespan (cycle time) of a single batch (no splitting)? ii. What will be the makespan of 150 units coming out of this line if the original lot is split into two equal sublots and processed on these machines simultaneously? iii. What are the optimal sublot sizes for minimizing the makespan given that we will split the original lot into two (not necessarily equal) sublots? iv. If in the process of splitting the lot into two sublots an additional restriction is placed on the size of each sublot, for example, no less than 25 units should be in each sublot, how will you include this constraint into your solution? v. Apply your procedure for part iv) to calculate the new optimal sublot sizes under this constraint. vi. What would be the makespan if you were to split the lot into three equal sublots (33,33, and 34)