The given network flow problem is:
Subject to: (x_1 + 2x_2 \leq 10), (3x_1 + x_2 \leq 15), (x_1, x_2 \geq 0)
Dr. Kim suggested that he try using the solutions manual for "Linear Programming and Network Flows" by Mokhtar S. Bazaraa, which she had used when she was a graduate student. She remembered that the book had excellent explanations and examples, and the solutions manual had step-by-step guides to solving problems.
Subject to: (2x_1 + x_2 \geq 12), (x_1 + 3x_2 \geq 15), (x_1, x_2 \geq 0)

