Question 1162552
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Constraint boundary lines:<br>
{{{y = -x+3}}}
{{{y = (1/2)x+(1/2)}}}<br>
Intersection point: (5/3,4/3)<br>
a graph... feasibility region is above the red line and below the green line<br>
{{{graph(400,400,-1,5,-1,5,-x+3,.5x+.5)}}}<br>
The only two corners of the feasibility region are (3,0) and (5/3,4/3).<br>
(3,0): P = 9(0)+3 = 3
(5/3,4/3): P = 9(4/3)+5/3 = 41/3<br>
ANSWERS: The minimum value of P is 3, at the point (3,0).<br>