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) =

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) (Show Source): You can put this solution on YOUR website!

The constraint boundary lines are

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).

RELATED QUESTIONS
Minimize P subject to the following constraints. P = 9y + x x ≥ 0 y ≥ 0 x + y... (answered by ikleyn,greenestamps)

Minimize the expression Z= 2x +3y subject to the following constraints. y <= 5, x <=6, (answered by jsmallt9)

Minimize z= 15x + 20y subject to the constraints. 3x + y >= 180 X + y >= 180 X >= 0... (answered by ikleyn)

Solve the following linear programming problems using graphical method. Maximize P =... (answered by ikleyn)

using graph find the maximum & minimum value of the objective function subject to the... (answered by Theo)

Solve the following linear programming problems using graphical methods Maximize P =... (answered by ikleyn)

Maximise P= 4x + 6y subject to the following constraints 2x + y = 180, x +2y =160 and... (answered by Fombitz)

Use the graphic method to solve this problem Minimize the objective function: 3x+2y (answered by ikleyn,greenestamps)

Use the simplex method to maximize p= 5x+4y+3z subject to the constraints: x>=0, y>=0,... (answered by Edwin McCravy)