Austin Company has a debt ratio of 0.5, a total assets turnover ratio of 0.25, and a profit margin of 10 percent.

Austin & Company has a debt ratio of 0.5, a total assets turnover ratio of 0.25, and a profit margin of 10 percent.  The Board of Directors is unhappy with the current return on equity (ROE), and they think it could be doubled.  This could be accomplished (1) by increasing the profit margin to 12 percent, and (2) by increasing debt utilization.  Total assets turnover will not change.  What new debt ratio, along with the new 12 percent profit margin, would be required to double the ROE?a.