Minimize $\backslash (\backslash$mathrm$\{$C$\}=8\backslash$mathrm$\{$x$\}+6\backslash$mathrm$\{$y$\}\backslash )$

Subject to $\backslash (6$ x$+7$ y $\backslash$geq $84\backslash )$

$\backslash ($ x$,$ y $\backslash$geq $0\backslash )$

What is the minimum value of C$?$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A$.\backslash (\backslash$mathrm$\{$C$\}=\backslash )($Simplify your answer. Type an integer or a fraction.$)$

O B$.$ There is no minimum value of C $.$

What are the coordinates of the corner point where the minimum value of C occurs? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A$.$ The coordinates are $($Type an ordered pair.$)($Type an ordered pair.$)$B$.$ There is no minimum value of C$.$