a$)$ Set up a ratio worksheet as shown in Exhibit $3-7,$ calculate all of the ratios for The Sophisticated Touch, Co$,$ and verify the change in $2022$ Sophisticated Touch, Co$.$s ROE using the Du Pont method.b$)$ Using the Altmans model for privately held firms and public ones, calculate the Z$-$score for The Sophisticated Touch, Co$.$ Assume that the market value of equity is $$1,500,000$; $$1,250,000$; $$1,000,000$; $$850,000$; and $$700,000$ for the years $2022,2021,2020,2019,$ and $2018$ respectively $($Identify and Access Needed Information$).$c$)$ Complete & calculate the economic profits and other related information for these years and compare it to net income. Assume that the WACC is $12\%$ each year $($Identify and Access Needed Information$).$d$)$ The staff at The Sophisticated Touch, Co$.$ wants to perform a trend analysis with the data generated in the previous sections of this problem. Create a line chart showing each category of ratios from $2018$ to $2022.$ Make sure to title the chart and label the axes. Also make a line chart of the Altmans model for private and public firms from $2018$ to $2022($Use Information Effectively to Accomplish a Specific Purpose$).$f$)$ Interpretation: please describe where you obtained information to develop analyses and interpret the results. Please include your written description in the interpretation tab.