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