Maximize or minimize the given objective function f subject to the given constraints. Maximize f = 30x

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Maximize or minimize the given objective function f subject to the given constraints.

Maximize f = 30x1 + 10x2 in the region in Prob. 5.

Data from Prob. 5

Describe and graph the regions in the first quadrant of the x1x2-plane determined by the given inequalities.

  -x1 + x2  ≥    0
    x1 + x2 ≤    5
-2x1 + x2  ≥ 16

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