anyone here know how to graph systems of constraints
what is one inequality you need to graph?
y> or= 0 x> or =0 y< or = -x+5
you can write "y> or= 0" as " y>= 0 "
you don't need to write "or"
anyways, to graph y>= 0, you just graph y = 0 which is the x axis then you shade above the line
x >= 0 will have you graph a line over the y axis, then you shade to the right
and the graph of y <= -x+5 will be done like so step 1) graph y = -x+5 step 2) make this a solid line step 3) shade below the solid line
how do i find x and y that maximize the objective function
c=-5x+3y
graphing all of the inequalities at once will produce a feasible region basically where the shaded regions overlap is some polygon
the vertices of the polygon are the potential points where c=-5x+3y is maximized
in this case, you will have a triangle and each vertex of the triangle is a potential spot where c=-5x+3y is maximized
okay thanks
np
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