Given the following information, what is the master production schedule $($MPS$)$ for week $5?$

Opening inventory $=100$ units

Lot size $=200$ units

Forecasted sales:

Week $1=150$ units

Week $2=100$ units

Week $3=60$ units

Week $4=80$ units

Week $5=140$ units

Note: Assume that the master scheduler wants to keep inventory levels to a minimum while still meeting all projected demand.

Question $31$ options:

$200$

$400$

$100$

$0$