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Question

Solve 3x+2y12,x+2y16,x+y10,x0,y0.

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Solution


Given:3x+2y12
x+2y16
x0
y0
Solution i) 3x+2y=12
x 0 6
y 4 0
Points A(0,4) B(6,0)
ii)x+2y=16
x 0 16
y 8 0
Points C(0,8)D(16,0)
iii)x+y=10
x 0 0
y 10 0
Points E(0,10) F(10,0)
The feasible region is AOB since it is common to the three equation graphyically with the points .
A(0,4),0(0,0)andB(6,0).

883764_104643_ans_e191650617574064a7773dd473e7b7d3.png

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