SOLUTION: using graph find the maximum & minimum value of the objective function subject to the given constraints . objective function: s= 2x + 7y subject to :{5x +y >=5

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Question 1202528: using graph find the maximum & minimum value of the objective function subject to the given constraints .
objective function: s= 2x + 7y
subject to :{5x +y >=5
x + 3y >=9
x>=0
y>=0
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
using the desmos.com calculator at https://www.desmos.com/calculator, you would graph the opposite of the constraint inequalities and evaluate the objective function at the corner points of the feasible region, which is the unshaded area of the graph.

here's what the graph looks like.

your minimum value is at 9,0) where the objective function equals 18.
there is no maximum value becauswe thee are no corner points other than at the minimum value.

all constraints need to be true at the corner points.

at (9,0), 5*9 + 0 >= 5 is true.
at (9,0), 5 + 0 is also true.