SOLUTION: Find the minimum and maximum values of the objective function subject to the given constrants. Objective function: C= 2x + 3y Constraints: x>0 y>0 x +y <

Algebra ->  Linear-equations -> SOLUTION: Find the minimum and maximum values of the objective function subject to the given constrants. Objective function: C= 2x + 3y Constraints: x>0 y>0 x +y <      Log On


   

Question 530477: Find the minimum and maximum values of the objective function subject to the given constrants. Objective function: C= 2x + 3y
Constraints:
x>0
y>0
x +y < 9
I also have to graph this and I just don't get how to even start this type of a problem.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the minimum and maximum values of the objective function subject to the given constrants. Objective function: C= 2x + 3y
Constraints:
x>0
y>0
Comment: These two conditions tell you the answers are in the 1st Quadrant.
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x +y < 9
Graph the boundary line: y = -x+9
Solutions points are below the boundary line and in the 1st Quadrant.
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graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C-x%2B9%29
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The vertices you need to check are (0,0),(0,9),(9,0)
(0,0): 2*0+3*0 = 0 (minimum)
(0,9): 2*0+3*9 = 27 (maximum)
(9,0): 2*9+3*0 = 18
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Cheers,
Stan H.