Is this a problem with my textbook "connect" software or is this actually the right answer? If so how is required production of lights different by $150$ of budgeted unit sales??

Fortin Limited produces and sells a single product, a wearable LED light for runners and cyclists. The analytics group at Fortin Limited has developed the following estimates for unit sales in the upcoming year.

$\backslash$table$[[,$First,Second,Third,Fourth$],[$Budgeted unit sales,Quarter,Quarter,Quarter,Quarter$],[,24,000,22,500,21,000,22,000]]$

Each light requires two separate LED bulbs, each of which costs $$2.$ To ensure enough LED bulbs are on hand to support short$-$term production if a problem arises with the sole supplier, Fortin Limited maintains an ending inventory of $10\%$ of the following quarter's production needs. A total of $4,800$ LED bulbs will be on hand to start the first quarter of the upcoming fiscal year. Management expects sales in the fourth quarter of the upcoming year to be the same as the first quarter of the following year.

Required:

Prepare a direct materials purchases budget for LED bulbs, by quarter and in total, for the upcoming fiscal year. At the bottom of your budget, show the dollar amount of purchases for each quarter and for the year in total.

$\backslash$table$[[$FORTIN LIMITED$],[$Direct Materials Budget $-$ Year $2],[,,$Quarter,,Year$],[,,,$First,,sond,,Third,,Fourth,$],[$Required production of lights,,$23,850,,22,350,,21,100,,22,000,,89,300],[$Number of bulbs per light,,$2,,2,,2,,2,,2],[$Total production needs$\_-$bulbs,$F,47,700,$F$,44,700,$F$,42,200,,44,000,$F$,178,600],[$Add: Desired ending inventory$\_$bulbs,grad,,$4,470,,4,220,,4,400,,4,400,,4,400],[$Total needs$-$bulbs,F$,52,170,$F$,48,920,F,46,600,,48,400,$F$,183,000],[$Less: Beginning inventory$-$bulbs,grad,,$4,800,,4,470,,4,220,,4,400,,4,800],[$Required purchases$-$bulbs,,$47,370,,44,450,,42,380,,44,000,,178,200],[$Total cost of purchases,$$,94,740,$$$,88,900,$$$,84,760,$$$,88,000,$$$,356,400]]$

Explanation

Desired ending inventory$-$bulbs: $10\%$ of the following month's production.