$($The answers are given below each specific question at the bottom, please make sure your answers match that before submitting back to me$.$ Also make sure to show me how you got the correct answers step by step in order so I can do a problem similar! Thank you$).$ Item A is one of the products manufactured at ABC Manufacturing.

Each order for producing the product has a cost of $$80/$order$,$ regardless of the number of units ordered.

The lead time for placing the order is $1$ week$($s$).$

The inventory cost is $$1/$ unit$/$week and the on$-$hand inventory at the beginning of week $1$ is $120$ units.

The gross requirement for Item A is specified for the beginning of weeks $1$ through $8$ in the table that follows.

Item A

Week $1$ Week $2$ Week $3$ Week $4$ Week $5$ Week $6$ Week $7$ Week $8$

Gross Requirement $908007004010550$

On$-$hand Inventory

Net Requirement

Planned Order Receipt

Planned Order Release

For a "lot size using Part Period" scheduling policy, determine the total cost for the $8$ week period. Assume that inventory is tracked at the beginning of the period.The number of units ordered can be a multiple of the Part Period, depending on the computed net requirement in a week.

What is total number of units held in inventory during the planning period $($i$.$e$.$ weeks $1$ through $8)?$

$($The answer is $345,$ how did they get that$)$

What is number of orders during the planning period?

$($The answer is $3,$ how did they get that$)$

What is the total cost of inventory and ordering for the planning period?

$($The answer is $585,$ how did they get that$)$