Question

A manufacturer wants to locate a super assembly facility to meet their assembly needs for the foreseeable future. There are 6 raw material suppliers are located in cities A through F, and the facility would ship manufactured products to 10 distribution centers in cities G through P. The locations of these cities on an x-y grid, outbound transportation costs on a ton per mile basis, and total tonnage are all contained in the file Data.xlsx. Use the Euclidian distance formula to calculate distances.

What is the minimal shipping cost that satisfies all market demand? (report your answer to 2 decmal places)

What is the optimal location for the super assembly center? (report your answers to 2 decimal places)

x-coordinate:

y-coordinate:

Answer 1

To calculate the minimal shipping cost that satisfies all market demand, use the Euclidian distance formula to find the combination of suppliers and centers that minimizes the total shipping cost. The optimal location for the super assembly center will be the city with the coordinates that minimize the total shipping cost.

Step-by-step explanation:

Minimal Shipping Cost:

Calculate the Euclidean distance between each raw material supplier (cities A through F) and each distribution center (cities G through P).

Multiply the distance by the outbound transportation cost on a ton per mile basis for each pair.

Sum up these costs to get the minimal shipping cost.

Optimal Location for Super Assembly Center:

For each potential location (coordinate) for the super assembly center, calculate the total shipping cost based on the Euclidean distances and transportation costs.

Identify the location with the minimum total shipping cost as the optimal location.

Without the specific numerical data, I can't provide exact answers, but these steps should guide you in solving the problem.

If you have the numerical data, you can perform the calculations accordingly.

Answer 2

Finding the optimal location for a super assembly facility involves using Weber's Location Model to consider transportation costs, land costs, and other factors such as labor costs, transportation network quality, and local government efficiency. The minimal shipping cost is computed using the Euclidean distance formula and weighing transportation costs per ton-mile. The precise location would be determined by a calculation that includes all relevant factors.

Step-by-step explanation:

The question pertains to finding the optimal location for a manufacturing facility, using the principles of Weber's Location Model. The model suggests that factors such as transportation costs, land costs, and proximity to suppliers and customers are pivotal in deciding the best location for a factory.

To calculate the minimal shipping cost that satisfies all market demand, one would need to use the Euclidean distance formula to find the distances from the potential factory site to each supplier (cities A-F) and each distribution center (cities G-P). After which, the total cost is minimized considering the transportation cost per ton-mile and the tonnage to be shipped.

The optimal location for a super assembly center is determined by examining various location factors such as labor and financial capital costs, quality of available transportation and communication networks, tax levels, and local government efficiency. If the data were available, these factors would be weighted and computed to quantify the most cost-efficient position for the facility.