graph-the-following-system-of-inequalities-and-evaluate-the-objective-function-a

Question

Graph the following system of inequalities, and evaluate the objective function at each corner of the graphed region. Then, identify the values of x and y for which the maximum value is found.

Inequality system: z = 4x + 6y with constraints for x and y.

Accepted Answer

z(0, 3) = 18; z(0, 10) = 60; z(7, 0) = 28; maximum value: 60 at x = 0 and y = 10

Graph of a system of inequalities showing feasible region with corners at (0,3), (0,10), and (7,0).

Answer

z(0, 3) = 16; z(0, 10) = 54; z(7, 0) = 36; maximum value: 54 at x = 0 and y = 10

Graph of a system of inequalities showing feasible region with corners at (0,3), (0,10), and (7,0).

Answer

z(0, 4) = 24; z(0, 8) = 48; z(10, 0) = 40; maximum value: 48 at x = 0 and y = 8

Graph of a system of inequalities showing feasible region with corners at (0,4), (0,8), and (10,0).

Answer

z(0, 4) = 32; z(0, 8) = 52; z(10, 0) = 20; maximum value: 52 at x = 0 and y = 8

Graph of a system of inequalities showing feasible region with corners at (0,4), (0,8), and (10,0).