Considering the following LP problem:

MaxZ $=5\backslash$times $1+12\backslash$times $2$ s$.$t$.$

x$1+$X$2>=25$

$3$x$1+$X$2>=45$

$5$x$1+7$X$2>=20$

$7$x$1+13\backslash$times $2<=83$

X$1,$ X$2>=0$

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$6\mathrm{.}67$ pts

Which one of the following options is correct?