Polygon regions

The solution of the system of inequalities x ge 0, x-5 le 0 and x ge y is a polygonal region with the vertices as

Draw the polygonal region represented by the given systems of inequations. x ge1, y ge 1, x le 4, y le 4

If (0,0), (0,4), (2,4) and (3,2) are the vertices of a polygonal region subject to certain constraints , then the maximum value of the objective funciton f=3x+2y is __________

The solution of the system of inequalities x ge 0, y ge 0, 5x+2y ge 10, 6x+5y le 30 is a polygonal region with the vertices _________

If (3,2), (2,3),(4,2) and (2,4) are the vertices of a polygonal region subject to certain constraint, then the minimum value of the objective function f=9x+5y is __________

The vertices of a closed - convex polygon representing the feasible region of the objective function f are (4,0), (2,4),(3,2) and (1,4) . Find the maximum value of the objective function f=7x+8y.

The vertices of a closed convex polygon representing the feasible region of the objective function are (6,2),(4,6),(5,4) and (3,6). Find the maximum value of the function f=7x+11y