Botox Facial Care had earnings after taxes of $$370,000$ in $201$ with $200,000$ shares of stock outstanding. The stock price was $$31\mathrm{.}50.$ In $20$X$2,$ earnings after taxes increased to $$436,000$ with the same $200,000$ shares outstanding. The stock price was $$4200.$

a$.$ Compute earnings per share and the $\frac{P}{E}$ ratio for $201.$ The $\frac{P}{E}$ ratio equals the stock price divided by earnings per share. Note: Do not round intermediate calculations. Round your final answers to $2$ decimal places.

$\backslash$table$[[$Earnings per share,$1\mathrm{.}85,],[$P$/$E ratio,$17\mathrm{.}03,03$ time$]]$

b$.$ Compute earnings per share and the P$/$E ratio for $202.$

Note: Do not round intermediate calculations. Round your final answers to $2$ decimal places.

$\backslash$table$[[$Earnings per share,$$,2\mathrm{.}18],[$P$/$E ratio,times,$]]$

b$.$ Compute earnings per share and the P$/$E ratio for $202.$

Note: Do not round intermediate calculations. Round your final answers to $2$ decimal places.

$\backslash$table$[[$Earnings per share,$$,2\mathrm{.}18,],[$P$/$E ratio,,,times$]]$

c$.$ Why did the $\frac{P}{E}$ ratio change?

Note: Do not round intermediate calculations. Input your answers as percents rounded to $2$ decimal places.

The stock price

increased by

$\backslash$table$[[$percent while EPS,increased by$]]$

percent