SOLUTION: Find the ordered pair where the maximum value occurs for the equation C=12x-4y given the following constraints: y>-(greater than or equal to)4 x>-(greater than or equal to )1

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the ordered pair where the maximum value occurs for the equation C=12x-4y given the following constraints: y>-(greater than or equal to)4 x>-(greater than or equal to )1       Log On


   

Question 856331: Find the ordered pair where the maximum value occurs for the equation C=12x-4y given the following constraints:
y>-(greater than or equal to)4
x>-(greater than or equal to )1
x+2y<-(less than or equal to)16
y-x<-(less than or equal to) 5
A)(10,1)
B(8,4)
C(2,7)
D)(1,4)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Just as a note, <= is less than or equal and >= is greater t
x%2B2y%3C=16
graph%28300%2C300%2C-2%2C10%2C-2%2C10%2Cy%3C=%2816-x%29%2F2%29
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y-x%3C=5
graph%28300%2C300%2C-2%2C10%2C-2%2C10%2Cy%3C=x%2B5%29
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First graph the region.

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Find the points of intersection.
(1,4)
(1,6)
(2,7)
(8,4)
First graph the region.

The min and max values occur at one of these vertices.
C=12x-4y=12%281%29-4%284%29=12-16=-4
C=12x-4y=12%281%29-4%286%29=12-24=-12
C=12x-4y=12%282%29-4%287%29=24-28=-4
C=12x-4y=12%288%29-4%284%29=96-16=80