Solve the linear programming problem.

Maximize

$z=10x10y$

Subject to

$6x6y90$

$18x-11y96$

$xy44$

$x,y0$

What is the maximum value of $z?$

Select the correct choice below and fill in any answer boxes present in your choice.

A$.z=440$

$($Type an integer or a fraction.$)$

B$.$ There is no maximum value of $z.$

At what corner point$($s$)$ does the maximum value of $z$ occur?

Select the correct choice below and fill in any answer boxes present in your choice.

A$.$ The maximum value of $z$ occurs at the corner point$($s$)$

$($Type an ordered pair. Use a comma to separate answers as needed.$)$

B$.$ There is no maximum value of $z.$