SOLUTION: Minimize P = y − x subject to the following constraints. x ≥ 0 y ≥ 0 x + y ≤ 9 2x + y ≥ 2 minimum value. P = point where minimum occurs. (x, y) =

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Question 1162582: Minimize P = y − x subject to the following constraints.

x ≥ 0
y ≥ 0
x + y ≤ 9
2x + y ≥ 2
minimum value. P =
point where minimum occurs. (x, y) =

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


The constraint boundary lines are

y+=+-x%2B9
y+=+-2x%2B2

A graph; the feasibility region is below the red line and above the green....

graph%28400%2C400%2C-2%2C10%2C-2%2C10%2C-x%2B9%2C-2x%2B2%29

The objective function is not very realistic; it is obvious that P = y-x will have its minimum value where y is smallest and x is largest -- at (9,0).

But to practice the standard method for solving this kind of problem, you can evaluate the objective function at all four corner points -- (1,0), (9,0), (0,2), and (0,9).