Given the following$$ information, assist in developing a Master Production Schedule. Assume the Demand Fence is $1$ week and the planning time fence is $2$ weeks, beginning inventory is $60$ units and the lot size is $100$ units.

Beginning Inventory$=60$

Week $1$: forecast $100$

Customer Orders$=50$

Week $2$: forecast $100$

Customer orders: $80$

For week$1,$ what is the appropriate value for the$$ MPS$?$