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- monkey*

Find the minimum value of f(x,y)=y-x+1 for the polygonal convex set determined by this system of inequalities.
X> or = 0 Y> or =0 2x+Y< or =4

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- monkey*

- schrodinger

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- monkey*

Any help?

- IrishBoy123

\(f(0,0) = 1\)
\( f(x,y)=y-x+1\)
\(f_x = -1, \, f_y = 1\)
so \(f_{min} = f(2,0) = -1\)

- monkey*

Would that be my answer? @IrishBoy123

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- IrishBoy123

that would be my answer, and if it is wrong, i could justify my approach
it is not clear to me how "you" are supposed to approach this, eg what are you learning right now. i just blagged it using some general knowledge
if you want more help i can tag some poeple

- monkey*

Yes, please. I'm completely lost on this problem.

- IrishBoy123

before i do so, what are you learning now? that might provide a clue as to how you are expected to approach/solve it

- monkey*

Would your answer be (2,0) or -1? Because if it's the (2,0), that would make more sense to me. But I'm learning system of linear equations and inequalities. Matrices also.

- IrishBoy123

it is 2,0
i have looked on line and you are supposed to plot the region and then just plug in values for x and y. that kinda is what the calculus shortens
so
|dw:1443043104809:dw|

- IrishBoy123

|dw:1443043301255:dw|

- IrishBoy123

i make it \(f(2,0) = -1\)

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