### Selecting the Optimal Site for Todd’s Direct Outlet in Mobile, Alabama**Introduction:**Todd's Direct, a major TV sales chain headquartered in New Orleans, is planning to open its first outlet in Mobile, Alabama. The goal is to identify a site that will place the new outlet at the center of Mobile's population base. To achieve this, Todd examines various census tracts within Mobile, plotting the population and their central coordinates on a map. These coordinates and population data serve as a weighting to determine the optimal location.**Data Collection:**Below is the collected data from seven census tracts in Mobile. The table includes the census tract numbers, the population within each tract, and the central coordinates (X, Y) of each tract:| Census Tract | Population in Census Tract | X, Y Map Coordinates ||--------------|-----------------------------|----------------------|| 101 | 2,100 | (26, 44) || 102 | 5,200 | (25, 24) || 103 | 10,500 | (57, 42) || 104 | 7,200 | (52, 18) || 105 | 10,400 | (80, 48) || 106 | 18,000 | (68, 22) || 107 | 14,000 | (84, 22) |**Interpreting the Data:**1. **Census Tract Numbers**: Identifiers for specific geographic regions in Mobile.2. **Population in Census Tract**: Number of people living within each census tract.3. **X, Y Map Coordinates**: The coordinates on a map representing the center of each census tract.**Objective:**Using the gathered data, the next step is to analyze the coordinates and population data to determine a central location that will best serve the majority of Mobile's population. This central location will be where Todd's Direct will establish its new outlet, optimally positioned to cater to the population’s distribution.By considering factors such as population density and geographical positioning, Todd’s Direct aims to maximize accessibility and convenience for its customer base in Mobile.**Visual Representation:**If provided, a visual representation such as a map with plotted points and population density gradients can further illustrate the distribution and help in pinpointing ### Center-of-Gravity Coordinates for Proposed Outlet#### a) Initial CoordinatesThe center-of-gravity coordinates for the location of the proposed outlet in Mobile, Alabama should be:- $ x = \_\_\_\_\_ $ (round your response to two decimal places)- $ y = \_\_\_\_\_ $ (round your response to two decimal places)#### b) New Coordinates Considering GrowthCensus tracts 103 and 105 are each projected to grow by 20% in the next year. The new center-of-gravity coordinates for the location of the proposed outlet in Mobile, Alabama should be:- $ x = \_\_\_\_\_ $ (round your response to two decimal places)- $ y = \_\_\_\_\_ $ (round your response to two decimal places)

Center of gravity coordinaqtes will be calculated as: X-axis = Total of Product of population with…

Answered: a) The center-of-gravity coordinates…

Practical Management Science

6th Edition

ISBN:9781337406659

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Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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