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Mathematics 24 Online
OpenStudy (anonymous):

anyone here know how to graph systems of constraints

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

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

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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