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.

• A. z(2, 3) = 7; z(2, 7) = 3; z(8, 16) = 24; z(8, 3) = 37; maximum value: 37 at x = 8 and y = 3
• B. z(2, 3) = 12; z(2, 7) = 5; z(8, 16) = 34; z(8, 3) = 41; maximum value: 41 at x = 8 and y = 3
• C. z(3, 4) = 11; z(3, 7) = 8; z(7, 11) = 24; z(7, 4) = 31; maximum value: 31 at x = 7 and y = 4
• D. z(3, 4) = 25; z(3, 7) = 36; z(7, 11) = 42; z(7, 4) = 30; maximum value: 42 at x = 7 and y = 11

Answer: (C)