a) Determine the placement of departments for a newly designed facility that will minimize total transportation costs using the data in the following tables. Assume that reverse distances are the same. The locations are shown in the grid. Use a cost of $1 per trip yard.
We do not have access to your tables.
Hdhdhd
To determine the placement of departments for a newly designed facility that will minimize total transportation costs, we need to analyze the data provided in the tables. Since the tables were not explicitly given, I will provide a hypothetical example to illustrate the process.
Let's say we have the following example data:
Departments:
A, B, C, D
Distances between Departments (in yards):
A B C D
A 0 10 20 30
B 10 0 15 25
C 20 15 0 5
D 30 25 5 0
To minimize the total transportation costs, we need to determine the optimal department placement arrangement. We can use an approach called the "Location-Allocation Problem" to find the solution.
Here are the steps to perform the Location-Allocation analysis:
1. Calculate the transportation costs for each possible department placement arrangement.
a) Start by assuming a particular department placement arrangement, for example, A at location 1, B at location 2, C at location 3, and D at location 4.
b) Calculate the transportation costs for moving between the departments based on the distances provided. Multiply the distance by the cost per trip yard.
c) Repeat this step for all possible department placement arrangements.
2. Identify the department placement arrangement with the minimum total transportation costs.
a) Calculate the total transportation costs for each department placement arrangement obtained in step 1.
b) Identify the arrangement with the minimum total transportation costs.
In the hypothetical example provided, you can calculate the transportation costs for each possible department placement arrangement using the given distances and the assumed cost per trip yard value of $1.
Once you have the total transportation costs for each arrangement, you can identify the one with the minimum costs, which would be the optimal department placement arrangement that minimizes total transportation costs.
Remember that this explanation assumes a hypothetical scenario since the tables were not provided. In an actual analysis, you would need to use the specific data and apply the described steps to find the optimal department placement arrangement.