Question

Subject to - 2x+3y=9
(a) Maximize z = 3x + 2y,
3
By graphical method
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Answer 1

Answer⤵️⤵️

Function to Maximize: Z=3x+2y

Constraints: x+2y≥10

3x+y≤15

x≥0,y≥0

Cornor Points Values of Z=3x+2y at cornor points

(0,0) 0

(0,5) 10

(4, 3) 18 ← Maximum

(5,0) 15

Hence, the Maximum value of Z=3x+2y is 18.