Botox Facial Care had earnings after taxes of $ $362,000$ in $20\backslash$times $1$ with $200,000$ shares of stock outstanding. The stock price was $ $81\mathrm{.}80.$ In $20\backslash$times $2,$ earnings after taxes increased to $ $450,000$ with the same $200,000$ shares outstanding. The stock price was $ $95\mathrm{.}00.$ a$.$ Compute earnings per share and the P $/$ E ratio for $20$ X $1.($The P $/$ E ratio equals the stock price divided by earnings per share.$)($Do not round intermediate calculations. Round your final answers to $2$ decimal places.$)$ b$.$ Compute earnings per share and the P $/$ E ratio for $20$ X $2.($Do not round intermediate calculations. Round your final answers to $2$ decimal places.$)$ c$.$ Why did the P$/$E ratio change? $($Do not round intemediate calculations. Input your answers as percents rounded to $2$ decimal places.$)$