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Linear Programming and Maximizing

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Please check if the following problem is complete. Solve and graph the following problem. Include step by step calculations. I am not sure how to graph it.

Maximize Z = 3X + Y subject to

12X + 14Y <= 85
3X + 2Y <= 18
Y<= 4

I solved it......

Maximize Z = 3X + Y subject to

12X + 14Y <= 85
3X + 2Y <= 18
Y<= 4

12X + 14Y = 85 3X + 2Y = 18
If X = 0 If x = 0
14Y = 85 2Y = 18
Y = 6.07 Y = 9

If Y = 0 If Y = 0
12X = 85 3X = 18
X = 7.08 X = 6

Y = 4

When
X Y
0 6.07 = 12X + 14(6.07) = 84.98
7.08 0 = 12(7.08 + 14Y = 84.96
6 9 = 3(6) + 2(9) = 36

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