Find the maximum and minimum values of z 9x 2y for points

Find the maximum and minimum values of z = 9x + 2y for points in the shaded region where A = (2, 14), B = (2, 3), C = (15, 3), and D = (13, 8).

Solution

Z=9X+2Y

A=(2,14)--->Z=18+28=46

B=(2,3)------>Z=18+6=24............... Mininmum value

C=(15,3)------->Z=135+6=141.............Maximum value

D=(13,8)---------->Z=117+16=133