Solve the linear programming problem.

Minimize and maximize P=25x+10y

Subject to5x+8y74

4x+y43

x+2y14

x,y0

What is the minimum value ofP? Select the correct choice belowand, ifnecessary, fill in the answer box to com plete your choice.

A.

P=___ (Simplify your answer. Ty pe an integer or afraction.)

B.

There is no minimum value of P.

What are the coordinates of the corner point where the minimum value of Poccurs? Select the correct choice belowand, ifnecessary, fill in the answer box to complete your choice.

A.

The coordinates are ____. (T ype an orderedpair.)

B.

There is no minimum value of P.

What is the maximum value ofP? Select the correct choice belowand, ifnecessary, fill in the answer box to compl ete your choice.

A.

P=____ (Simplify your answer. Ty pe an integer or afraction.)

B.

There is no maximum value of P.

What are the coordinates of the corner point where the maximum value of Poccurs? Select the correct choice belowand, ifnecessary, fill in the answer box to co mplete your choice.

A.

The coordinates are ___. (Ty pe an orderedpair.)

B.

There is no maximum value of P.