# CBSE Class 12-science Answered

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

Asked by gargisha381 | 26 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 | 27 May, 2022, 10:28: AM

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