(Solved): Use graphical methods to solve this linear programming problem. Maximizesubjectto:z=7x ...

Use graphical methods to solve this linear programming problem. $$\begin{array}{ll}\text{ Maximize }& z=7x+2y\\ \text{ subject to: }& 5x?y?16\\ & 2x+y?13\\ & x?3\\ & y?8\end{array}$$ What is the maximum value of $$z$$ ? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The maximum value is (Simplify your answer.) B. There is no maximum. At what point(s) does the maximum value of $$z$$ occur? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The maximum value of $$z$$ occurs only at the point(s) (Type an ordered pair. Use a comma to separate answers as needed.) Use graphical methods to solve this linear $$\begin{array}{ll}\text{ Maximize }& z=7x+2y\\ \text{ subject to: }& 5x?y?16\\ & 2x+y?13\\ & x?3\\ & y?8\end{array}$$ programming problem. (Simplify your answer.) B. There is no maximum. At what point(s) does the maximum value of $$z$$ occur? Select the correct choice below and, if necessary, fill in th answer box to complete your choice. A. The maximum value of $$z$$ occurs only at the point(s) (Type an ordered pair. Use a comma to separate answers as needed.) B. The maximum value of $$z$$ occurs at the points and at all points on the line segment connecting them. (Type an ordered pair. Use a comma to separate answers as needed.) C. There is no maximum value of $$z$$.