Answer:
Results are below.
Explanation:
Giving the following information:
Sales in Units
April 54,000
May 75,000
June 94,000
July 82,000
Desired ending inventory= 20% of the following month’s sales.
The inventory at the end of March was 10,800 units.
To calculate the production for each month, we need to use the following formula:
Production= sales + desired ending inventory - beginning inventory
April:
Sales= 54,000
Ending inventory= 75,000*0.2= 15,000
Beginning inventory= (10,800)
Total= 58,200 units
May:
Sales= 75,000
Ending inventory= 94,000*0.2= 18,800
Beginning inventory= (15,000)
Total= 78,800 units
June:
Sales= 94,000
Ending inventory= 82,000*0.2= 16,400
Beginning inventory= (18,800)
Total= 91,600 units
Total for the quarter= 228,600 units
In the above case, Sales in Units in the month of April is 54,000, in the month of May is 75,000, in the month of June is 94,000 and in the month of July is 82,000.
A sale is defined as a transaction between the parties in which the purchaser acquires goods, services, or assets in return for money. In some cases, other assets are pay off to a seller.
Computation of production:
According to the available information,
Desirable closing inventory= 20% of the following month’s sales.
The inventory at the end of March was 10,800 units.
To calculate the production in each month, the formula is:
[tex]\text{Production= Sales + Desired Ending Inventory - Beginning Inventory}[/tex]
Production in the month of April:
According to the given information,
Sales= 54,000
Ending inventory:
[tex]=75,000\times \dfrac{20}{100}\\= 15,000[/tex]
Beginning inventory= 10,800
Now, apply the given values in the above formula:
[tex]\text{Production= Sales + Desired Ending Inventory - Beginning Inventory}\\\\\text{Production} =54,000+15,000-10,800\\\\\text{Production}=58,200\text{Units}[/tex]
Production in the month of May:
Sales= 75,000
Ending inventory:
[tex]=94,000\times \frac{20}{100}\\\\= 18,800[/tex]
Beginning inventory= 15,000
Now, apply the given values in the above formula:
[tex]\text{Production= Sales + Desired Ending Inventory - Beginning Inventory}\\\\\text{Production} =75,000+18,800-15,000\\\\\text{Production}=78,800\text{Units}[/tex]
Production in the month of June:
Sales= 94,000
Ending inventory:
[tex]872,000\times\dfrac{20}{100}= 16,400[/tex]
Beginning inventory= 18,800
Now, apply the given values in the above formula:
[tex]\text{Production= Sales + Desired Ending Inventory - Beginning Inventory}\\\\\text{Production} =94,000+16,400-18,800\\\\\text{Production}=91,600\text{Units}[/tex]
Therefore, the Total for the quarter :
[tex]=\text{May's Production + June's Production+Juily's Production}\\\\=58,200+78,800+91,600 \text{Units}\\= 228,600 \text{Units}[/tex]
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