44000 Assets and costs are proportional to sales. The company maintains a constant 30 percent dividend payout ratio and a constant debt-equity ratio. What is the maximum dollar increase in sales that can be sustained assuming no new equity is issued?

Maximum Dollar Increase = $10079.76

Explanation:

(See attachment for full question)

INCOME STATEMENT

Sales ---------- $67,000

Costs ---------- $43,800

EBIT ------------ $23,200

Taxes (34%) ----$7,888

Net income ------$15,312

BALANCE SHEET

Current Assets ------$31,000

Fixed Assets --------- $118,000

Total ------------------- $149,000

Long-term Debt -----$68,000

Equity ------------------- $81,000

Total ----------------- $149,000

Dividend Payout Ratio = 30%

Plowback Ratio is calculated by: 1 - Dividend Payout Ratio

Plowback Ratio = 1 - 30%

Plowback Ratio = 1 - 30/100

Plowback Ratio = 1 - 0.3

Plowback Ratio = 0.7

Plowback Ratio = 70/100

Plowback Ratio = 70%

Return on Equity (ROE) is calculated by: Net Income/Total Equity

Net Income = $15,132

Total Equity = $81,000

ROE = $15,132/$81,000

ROE = 0.186815

ROE = 18.68%

Calculating Sustainable Growth Rate (SGR)

SGR = (ROE * Plowback Ratio)/(1 - ROE * Plowback)

SGR = (0.186815 * 0.7)/( 1 - 0.186815 * 0.7)

SGR = (0.1307705)(1-0.1307705)

SGR = 0.1307705/0.8692295

SGR = 0.150444157728194

SGR = 0.1504

Max increase = (Sales * SGR)= ($67,000 * 0.1504)

Max Increase = $10079.75856778905

Max Increase = $10079.76

107x106 is the answer