The optimal total shipping cost in a minimization transportation model is $622, and the reduced cost from source node 1 to destination node 6 is $6. This implies that if one were to deviate from the optimal solution by shipping one unit from node 1 to node 6, the new minimum total shipping cost would be $628.
true?
What kind of school subject is "isds"? I never heard of it. Is this business, economics, math, or...?
Reed, It's a school.
To determine if the given statement is true, let's first understand the concepts involved.
In a minimization transportation model, the objective is to minimize the total shipping cost while meeting the demands at each destination and respecting the capacities at each source. It involves assigning quantities from source nodes to destination nodes, with the goal of minimizing the total cost incurred.
The reduced cost is a concept used in linear programming to determine how much the objective function value would change if one unit of a variable is introduced into the problem. In the context of transportation models, it represents the amount by which the overall cost would decrease if one unit of shipment is added from a specific source to a particular destination.
Now, let's assess the given statement:
"The optimal total shipping cost in a minimization transportation model is $622."
This implies that after solving the transportation model, the minimum total shipping cost achieved is $622.
"The reduced cost from source node 1 to destination node 6 is $6."
This means that if one unit of shipment is added from source node 1 to destination node 6 in the optimal solution, the total shipping cost would decrease by $6.
"This implies that if one were to deviate from the optimal solution by shipping one unit from node 1 to node 6, the new minimum total shipping cost would be $628."
To verify this statement, we should add one unit of shipment from node 1 to node 6 and recalculate the total shipping cost. If the new minimum total shipping cost is $628, then the statement is true.
Therefore, to get the answer, we need to calculate the new minimum total shipping cost by adding one unit of shipment from node 1 to node 6 to the optimal solution and verifying if it equals $628.