Provide an appropriate response.A linear programming problem has objective function 3x1 + 4x2 and constraintsax1 + bx2 ? 10cx1 + dx2 ? 20x1 ? 0, x2 ? 0where a, b, c, and d are positive numbers.Does a maximum exist for the objective function? If not, why not? Does a minimum exist? If not, why not?

A. Maximum does not exist as the objective function may be arbitrarily large (unbounded). Minimum does exist.
B. Maximum does exist. Minimum does not exist as the objective function may be arbitrarily small (unbounded).
C. Neither maximum nor minimum exist as the problem is unbounded.
D. Neither maximum nor minimum exist as the feasible set is the empty set.


Answer: A

Mathematics

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