using graph, maximize z=4x+3y subject to the constraints x+y=9, 9x+2y=18

Asked by gargisha381 | 26th May, 2022, 12:24: PM

Expert Answer:

Point of intersection of the lines x+y=9, 9x+2y=18 are is (0, 9).
Corner points are (0, 9), (9, 0), (2, 0)
Z = 4x + 3y
Points      Z = 4x + 3y
(0, 9)       27
(9, 0)       36
(2, 0)       8
 
Z is maximum at (9, 0) which is 36.

Answered by Renu Varma | 27th May, 2022, 10:28: AM