Question 549802
Given the restraints x + y <=5
y >= x
x >=0
and the objective Function C = x + y, find the maximum value?
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Graph the line y = x
Shade the area above the line
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Graph the line y = -x+5
Shade the area below the line
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Shade the area to the right of x = 0 that is above y = x
and below y = -x+5.
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Find the coordinates of the three vertices of the resulting
triangle: (0,0) ; (0,5), (2.5 , 2.5)
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Evaluate C = x + y for each of those number pairs:
(0,0): C = 0
(0,5): C = 5
(2.5 2.5) C = 5
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Max for (0,5) and for (2.5 , 2.5)
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Cheers,
Stan H.
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