Table $11\mathrm{.}1$

Big Truck Tacos has developed the following forecast of demand and accepted orders for their holiday tacos as they enter the Taco Festival Season. They enter the planning period with $65$ holiday tacos in inventory as shown in Week $0.$

Week $012345678$

Forecast $708090100120140170220$

Customer Orders $805030100000$

Projected on$-$hand inventory $65$

MPS $$

ATP $$

Use Table $11\mathrm{.}1$ to answer this question. After scoring a terrific deal on tortillas, Big Truck Tacos decides to produce $120$ tacos in weeks $1,2,$ and $3.$ What is their projected on$-$hand inventory for week $4?$