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n200080 [17]
3 years ago
10

Given the system of constraints, name all the vertices of the feasible region. Then find the maximum value of the given objectiv

e function.
x>=0
y>=0
y=<1/3x+3
5>=y+x

Objective Function: C=6x-4y
Mathematics
1 answer:
Butoxors [25]3 years ago
5 0
The vertices of the feasible region are: (0, 0), (0, 3), (1.5, 3.5), (5, 0)

For (0, 0): C = 6(0) - 4(0) = 0
For (0, 3): C = 6(0) - 4(3) = -12
For (1.5, 3.5): C = 6(1.5) - 4(3.5) = 9 - 14 = -5
For (5, 0): C = 6(5) - 4(0) = 30

Therefore, the maximum value of the ob jective function is 30.
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