A partially completed MPS record for an end item is shown in the table below. The current on$-$hand inventory $($in units$),$ the order quantity $($in units$),$ and the lead time $($LT$,$ in weeks$)$ are given in the table. Develop MPS for the end item. Round to the nearest whole number.

$[$Note: Projected on$-$hand inventory at the end of this week $=$ On$-$hand inventory at the end of last week $+$ MPS quantity due at start of this week $-$ Projected requirements this week.

ATP for the first week $=$ Projected on$-$hand inventory at the end of last week $+$ MPS quantity for the first week $-$ The cumulative total number of customer orders booked up to $($but not including$)$ the week in which the next MPS quantity arrives.

ATP for the $2$nd$,3$rd$,...$ weeks $=$ MPS quantity $-$ The cumulative total number of customer orders booked up to $($but not including$)$ the week in which the next MPS quantity arrives.$]$ Current on$-$hand inventory: $50$

Order quantity: $60$

LT: $1$

$\backslash$table$[[,1,2,3,4],[$Forecast$,21,45,35,12],[$Customer orders $($booked$),14,13,25,20],[$Projected on$-$hand inventory,$29,,,],[$MPS quantity,,,,$],[$MPS start,,,,$],[$ATP inventory,,,,$]]$

What is the projected on$-$hand inventory for week $2?$

Group of answer choices

$6$

$44$

$98$

What is the available$-$to$-$promise inventory $($ATP$)$ for week $1?$

Group of answer choices

$15$

$36$

$0$

Flag question: Question $3$

Question $37$ pts

What is the projected on$-$hand inventory for week $3?$

Group of answer choices

$5$

$9$

Flag question: Question $4$

Question $47$ pts

What is the projected on$-$hand inventory for week $4?$

Group of answer choices

$45$

$49$

Flag question: Question $5$

Question $57$ pts

What is the MPS start quantity for week $1?$

Group of answer choices

$20$

$60$

Flag question: Question $6$

Question $67$ pts

What is the MPS quantity for week $2?$

Group of answer choices

$40$

$60$