Provide an appropriate response.A linear programming problem has objective function 4x and constraints x ? a-x ? -b x ? 0where a and b are positive numbers and b > a.Does a maximum exist for the objective function? If not, why not? Does a minimum exist? If not, why not?
A. Neither maximum nor minimum exist as the feasible set is the empty set.
B. Maximum and minimum both exist.
C. Maximum does not exist as the objective function may be arbitrarily large (unbounded). Minimum does exist.
D. Maximum exists. Minimum does not exist as the objective function may be arbitrarily small (unbounded).
Answer: A
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