Respuesta :
Answer:
The amount by which Nelson's short-term debt (notes payable) increase without pushing its current ratio below 2.0 is $138,000.
Explanation:
From the question, we have:
Initial current assets = $1,196,000
Initial current liabilities = $460,000
Initial inventory level = $325,000
Targeted current ratio = 2.0
Therefore, we have:
Initial current ratio = Initial current assets / Initial current liabilities = $1,196,000 / $460,000 = 2.60
New current liabilities = Initial current assets / Targeted current ratio = $1,196,000 / 2 = $598,000
Expected amount of increase in short-term debt = New current liabilities - Initial current liabilities = $598,000 - $460,000 = $138,000
By implication, we have:
Expected amount of increase in inventory level = Expected amount of increase in short-term debt = $138,000
New inventory level = Initial inventory level + Expected amount of increase in inventory level = $325,000 + $138,000 = $463,000
New current assets = Initial current assets + Expected amount of increase in inventory level = $1,196,000 +$138,000 = $1,334,000
We can now check as follows:
New current ratio = New current assets / New current liabilities = $1,334,000 / $598,000 = 2.23
Therefore, the amount by which Nelson's short-term debt (notes payable) increase without pushing its current ratio below 2.0 is $138,000.
Nelson's short-term debt can increase up to $276,000
The given information includes:
Current Assets = $1,196,000
Current liabilities = $460,000
So, when x amount is borrowed for short term and invested in inventory, then the Revised Current assets = 1,196,000 + x and Revised Current liabilities = 460,000 + x
Lets understand that Revised Current ratio should be 2.0.
We all know that Current ratio = Current Assets / Current liabilities
Now, we input the values
2.0 = $1,196,000 + x / $460,000 + x
$1,196,000 + x = 2.0x($460,000 + x)
$1,196,000 + x = 920,000 + 2x
2x - x = $1,196,000 - $920,000
x = $276,000
In conclusion, the amount of Nelson Short term debt can increase up to $276,000 without pushing its current ratio below 2.0.
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