(Solved): Solve the linear programming problem. Minimize and maximize \( P=20 x+5 y \) \[ \text { Subject to ...

Solve the linear programming problem. Minimize and maximize \( P=20 x+5 y \) \[ \text { Subject to } \begin{aligned} 2 x+5 y & \geq 44 \\ 2 x+y & \leq 28 \\ -2 x+7 y & \leq 52 \\ x_{1} y & \geq 0 \end{aligned} \] What is the minimum value of P? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( P= \) (Simplify your answer. Type an integer or a fraction.) B. There is no minimum value of \( P \).