Q$.$ Consider a $6-$machine flow line where a single job goes through in batches of $100$ units.

times $($in sec$.)$

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 $34)?$

vii. Can we further reduce makespan if you were to split the lot into three sublots?