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Mathematics
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OpenStudy (anonymous):
anyone here know how to graph systems of constraints
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jimthompson5910 (jim_thompson5910):
what is one inequality you need to graph?
OpenStudy (anonymous):
y> or= 0
x> or =0
y< or = -x+5
jimthompson5910 (jim_thompson5910):
you can write "y> or= 0" as " y>= 0 "
jimthompson5910 (jim_thompson5910):
you don't need to write "or"
jimthompson5910 (jim_thompson5910):
anyways, to graph y>= 0, you just graph y = 0 which is the x axis
then you shade above the line
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jimthompson5910 (jim_thompson5910):
x >= 0 will have you graph a line over the y axis, then you shade to the right
jimthompson5910 (jim_thompson5910):
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
OpenStudy (anonymous):
how do i find x and y that maximize the objective function
OpenStudy (anonymous):
c=-5x+3y
jimthompson5910 (jim_thompson5910):
graphing all of the inequalities at once will produce a feasible region
basically where the shaded regions overlap is some polygon
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jimthompson5910 (jim_thompson5910):
the vertices of the polygon are the potential points where c=-5x+3y is maximized
jimthompson5910 (jim_thompson5910):
in this case, you will have a triangle and each vertex of the triangle is a potential spot where c=-5x+3y is maximized
OpenStudy (anonymous):
okay thanks
jimthompson5910 (jim_thompson5910):
np
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