$.$ a$.$ Given the following master schedule, fill in the Projected Available and Available to Promise rows: On$-$hand: $35$ Planning Time Fence: $10$ Lot Size: $200$ Demand Time Fence: $2$ Period $12345678910$ Forecast $30404050404030404050$ Customer orders $313529211714331152$ Projected avail. Avail. to promise MPS $200200111+4040$ o $1$ b$.$ A customer wants an order of $100$ in period $4.$ What can you tell them? c$.$ The customer from part $($b$)$ cancels their request, but then says they want $120$ in period $5.$ What do you tell them now? d$.$ Sales has requested that you add a MPS of $200$ in period $9$ to cover their needs for a sales promotion. What do you tell them and why? e$.$ What action $($if any$)$ should be taken in period $11?$ Why is it okay to take the action?