Find the maximum value of the objective function f (x, y) = x - y + 1, subject to the constraints x ≥ 0, - x + y ≥ 0, and y ≤ 2.

Question

Mathematics

Erin Villanueva

11 September, 04:15

Find the maximum value of the objective function f (x, y) = x - y + 1, subject to the constraints x ≥ 0, - x + y ≥ 0, and y ≤ 2.

+1

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Dustin · Answer 1

We see that

x≥0

-x+y≥0 or y≥x

and

y≤2

we see

x-y+1

y is being minused, so make it very small, we can make it 0

because y can equal x

and x can equal 0

so

f (0,0) = 0-0+1=1

at (0,0) yeilds a value of 1

sorr if wrong