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Graphing Systems of Inequalities
18. Systems of Equations and Matrices / Graphing Systems of Inequalities / Problem 2
Problem 2

For the given objective function, find the maximum value subject to the constraints. (Hint: first graph the region enclosed by the constraints.)
Function: z = 6x + 13y
Constraints:
2x+3y ≥ 9
3x+2y ≤ 13
y ≤ x
y ≥ 0
x ≥ 0