Answer:
$105,571.6
Explanation:
Calculation of how large of a sales increase can the company achieve without having to raise funds externally.
The first step is to calculate the self-supporting growth rate using this Formula:
Self-supporting growth rate =
M (1-POR) (S0)÷A0 – L0 – M (1-POR) (S0)
Where:
M = Net Income/Sales = 3%
POR = Payout ratio = 55%
S0 = Sales = $4,000,000
A0 = $2,400,000
L0 = Spontaneous liabilities = $200,000+$100,000 =$300,000
We are using only accounts payable and accruals for LO because they are been considered as spontaneous liabilities
Let plug in the formula
.03 (1 - .55) (4,000,000) ÷2,400,000-300,000 - .01(1-.55)(4,000,000)
=54,000÷2,100,000 – 54,000
=54,000÷2,046,000
=2.63929%
Therefore, the self-sustaining growth rate will be 2.63929%
Second step is to Calculate for how large a sales can increase
Using this formula
Sales amount * Self-sustaining growth rate
Let plug in the formula
$4,000,000×2.63929%
=$105,571.6
Therefore, the sales can increase by $105,571.6
