Solve the linear programming problem.

Maximize P$=15$x$+70$y

Subject to x$+7$y

x$,$y$>=0$

What is the maximum value of P$?$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

$(1)$ A$.$ P$=$

$($Simplify your answer. Type an integer or a fraction.$)$

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

What are the coordinates of the corner point where the maximum value of P occurs? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

O A$.$ The coordinates are

$($Type an ordered pair.$)$

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