Consider the following transshipment problem.The shipping cost per unit between nodes 1 and 2 is $10,while the shipping cost per unit between nodes 2 and 3 is $12.What is the objective function?

A)Min X₁₂ + X₂₃
B)Max X₁₂ + X₂₃
C)Min 10X₁₂ + 12X₁₃
D)Min -10X₁₂ - 12X₁₃
E)Max 10X₁₂ + 12X₂₃

Question

Consider the following transshipment problem.The shipping cost per unit between nodes 1 and 2 is $10,while the shipping cost per unit between nodes 2 and 3 is $12.What is the objective function?

A)Min X₁₂ + X₂₃ 
B)Max X₁₂ + X₂₃ 
C)Min 10X₁₂ + 12X₁₃ 
D)Min -10X₁₂ - 12X₁₃ 
E)Max 10X₁₂ + 12X₂₃

Quizplus · Accepted Answer

The objective function represents the total shipping cost, which is calculated by multiplying the amount shipped between each pair of nodes by the cost per unit for that pair. Therefore, the objective function is:
Total shipping cost = 10X₁₂ + 12X₂₃
Choice C is the only one that matches this equation. Choices A, B, D, and E either have the wrong sign or include variables that are not in the problem.

Consider the Following Transshipment Problem