Respuesta :
Answer:
(a) Short-term debt can increase by a maximum of $466,666.67 without pushing its current ratio below 1.9
(b) The firm's quick ratio after Nelson has raised the maximum amount of short-term funds is 1.34
Explanation:
Current assets = $1,750,000
Current liabilities = $700,000
Initial inventory level = $490,000
Current ratio = Current assets ÷ Current liabilities
= $1,750,000 ÷ $700,000 = 2.5
1.9 = (Current assets + [tex]\Delta{NP[/tex]) ÷ (Current liabilities + [tex]\Delta{NP[/tex])
1.9 = ($1,750,000 + [tex]\Delta{NP[/tex]) ÷ ($700,000 + [tex]\Delta{NP[/tex])
1.9 × ($700,000 + [tex]\Delta{NP[/tex]) = ($1,750,000 + [tex]\Delta{NP[/tex])
$1,330,000 + [tex]1.9\Delta{NP[/tex] = $1,750,000 + [tex]\Delta{NP[/tex]
[tex]0.9\Delta{NP[/tex] = $1,750,000 - $1,330,000
[tex]\Delta{NP[/tex] = $466,666.67
Short-term debt can increase by a maximum of $466,666.67 without pushing its current ratio below 1.9
Quick ratio = (Current assets - Inventories) ÷ Current liabilities
= $937,500 ÷ $700,000
= 1.34