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Complete Question:
JT Department Store expects to generate the following sales for the next three months:
July 460,000 August: 580,000 September: 620,000
JT's cost of gods sold is 60% of sales dollars. At the end of each month, JT wants a merchandise inventory balance equal to 20% of the following month's expected cost of goods sold. What dollar amount of merchandise inventory should JT plan to purchase in August?
a. $257,400
b. $314,600
c. $352,800
d. $327,800
Answer:
Option C. $352,800
Explanation:
The purchases of merchandise inventory in the month August can be calculated using the following formula:
Amount of merchandise inventory required =
Closing inventory required (Step1) + Cost of goods sold (Step2) - Opening inventory (Step3)
Step1: Closing inventory required
The closing inventory required is 20% of the next month sales $620,000, which is $74,400.
Step2: Cost of goods sold
The cost of goods sold for the month is 60% of the current month sales $580,000 which means the 60% of it is $348,000.
Step3: Opening inventory
Closing inventory required for July $69,600
This is the amount that is required at the end of the July which is 20% of the sales $580,000 of the next month August which means the closing is $69,600. We also know that the closing of the previous month is opening for the next month. So the opening for the month of August is $69,600.
So by putting values, we have:
Amount of merchandise inventory required = $74,400 + $348,000 - $69,600 = $352,800
The purchases of merchandise inventory in the month of August :
Formula :
Amount of merchandise inventory required = Closing inventory required (Step1) + Cost of goods sold (Step2) - Opening inventory (Step3)
Step1 : Closing inventory required
The closing inventory required is 20% of the next month's sales $620,000, which is $74,400.
Step2: Cost of goods sold
The cost of goods sold for the month is 60% of the current month sales $580,000 which means the 60% of it is $348,000.
Step3: Opening inventory
Closing inventory required for July $69,600
So by Subsituiting the values ,
Amount of merchandise inventory required = $74,400 + $348,000 - $69,600
Amount of merchandise inventory required =$352,800
The purchases of merchandise inventory in the month of August is $352800.
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