MHT CET 2021 Math Solved Paper

Maximise Z=11x+7y, subject to the constraints x≤3,y≤2,x≥0,y≥0The shaded region as shown in the figure as OABC is bounded and the coordinates of corner points are (0,0),(3,0),(3,2) and (0,2) respectively.Hence, Z is maximum at (3,2) and its maximum value is 47 .