Select the region determined by the constraints. Then find the minimum value of the objective function (if possible) and where it occurs, subject to the indicated constraints.
?
Objective function:
?
z = 5x + 6y
?
Constraints:
?
          x ? 0
          y ? 0
    x + y ? 8
3x + 5y ? 30
?

A.

No minimum


B.

Minimum at (10, 0): 50


C.

Minimum at (8, 0): 49


D.

Minimum at (5, 3): 43


E.

Minimum at (0, 8): 48



Answer: D

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