$5-$ Use the data in the Table below and determine grouping alternatives based on similarity coefficients. What information is lost when the groups are formed based solely on similarity coefficients? Construct the dendogram.

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|$c$|$c$|$c$|$c$|$c$|$c$|$c$|$c$|$c$|\}$

$\backslash$hline $\backslash$multirow$\{3\}\{*\}\{$Machine Type$\}$ & $\backslash$multicolumn$\{11\}\{|$c$|\}\{$Machine Utilization$\}\backslash \backslash$

$\backslash$hline & $\backslash$multicolumn$\{11\}\{|$c$|\}\{$Components$\}\backslash \backslash$

$\backslash$hline & $1$ & $2$ & $3$ & $4$ & $5$ & $6$ & $7$ & $8$ & $9$ & $10$ & $11\backslash \backslash$

$\backslash$hline A & $0\mathrm{.}2.$ & & & $0\mathrm{.}4$ & & $0\mathrm{.}2$ & & & $0\mathrm{.}2$ & $0\mathrm{.}4$ & $\backslash \backslash$

$\backslash$hline B & & $0\mathrm{.}7$ & $0\mathrm{.}3$ & & $0\mathrm{.}4$ & $0\mathrm{.}2$ & & & & & $0\mathrm{.}1\backslash \backslash$

$\backslash$hline C & $0\mathrm{.}5$ & & $0\mathrm{.}8$ & & $0\mathrm{.}2$ & & & & $0\mathrm{.}1$ & & $\backslash \backslash$

$\backslash$hline D & $0\mathrm{.}3$ & & & $0\mathrm{.}2$ & & $0\mathrm{.}4$ & & & & & $\backslash \backslash$

$\backslash$hline E & & & $0\mathrm{.}5$ & $0\mathrm{.}3$ & & & $0\mathrm{.}7$ & $0\mathrm{.}1$ & & & $\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$