$[9$:$52$ PM$,3/6/2024]+8801719-354300$: Given the following data, $($Week$,$ Forecast$)$: $(1,30),(2,40),(3,40),$ and $(4,30).$ There are $40$ on hand. The lot size is $60.$ The MPS should be determined as needed $($no shortage, no excessive inventory$).$ Then the projected available balance at week $2$ is:

Group of answer choices

$40$

$50$

$30$

None of them

$20$

$20$

$[9$:$53$ PM$,3/6/2024]+8801719-354300$: Worldwide Can$-$Openers, Inc., makes a hand$-$operated can openers. The production plan is based on weeks and will be a level production. There are four weeks in this month. The forecast demand for each week, opening inventory, and the inventory planned to reduce at the end of the week are given below, respectfully. If no shortage is allowed, calculate the production plan.

Production Plan

Week

$1$

$2$

$3$

$4$

Total

Forecast Demand

$3500$

$5000$

$4000$

$4500$

Projected Available Balance

$3000$

Planned Production

Planned to reduce the inventory at the end of $4$th month: $2000$ dozen. The projected available balance in Production Plan in week $3$ is:

Group of answer choices

$4000$

$2500$

$3000$

None of the above

$3500$