The GRG and Simplex algorithms are similar in that
A) each algorithm process continues until there is no further improvement in the objective function.
B) both algorithms take their starting solution from the spreadsheet.
C) both return the globally optimal solution.
D) both algorithms return a solution that satisfies at least one constraint at equality.

Question

Quizplus · Accepted Answer

Both the GRG and Simplex algorithms are iterative and aim to improve the objective function until there is no further improvement possible. However, they differ in their approach and the nature of their solution. The Simplex algorithm starts with a basic feasible solution and moves along the edges of the feasible region to the optimal solution, while the GRG algorithm is a derivative-based method that uses calculus to find the optimal solution. Additionally, while the Simplex algorithm returns a locally optimal solution, the GRG algorithm returns a globally optimal solution. Finally, neither algorithm necessarily satisfies any constraints at equality in their solution.

The GRG and Simplex Algorithms Are Similar in That