The following network describes a transportation scenario in which there are four sources A, B, C, and D, and three destinations P, Q, and R. Write the mathematical formulation of the problem.
A) Minimize the total transportation cost from sources A, B, C, and D to destinations P, Q, and R, subject to the supply and demand constraints.
B) Maximize the total transportation cost from sources P, Q, and R to destinations A, B, C, and D, subject to the supply and demand constraints.
C) Minimize the total transportation cost from sources A, B, C, and D to destinations P, Q, and R, while maximizing the capacity utilization of each source.
D) Maximize the total transportation cost from sources P, Q, and R to destinations A, B, C, and D, while minimizing the capacity utilization of each destination.
