asks you to calculate the coordinates for a distribution center, so that she can minimize its...

  
 
 

Transcribed Image Text:

asks you to calculate the coordinates for a distribution center, so that she can minimize its distance to ten cities in Mexico." You found a map of Mexico online, and after asking Sarah for a list of the ten major cities in Mexico, you decide to use an improvised grid to assign horizontal and vertical coordinates to the cities. These coordinates, shown in the table below, use as origin a point in the top left corner of the map. You tried to make these units as close to kilometers as possible. However, you prefer to think of them as relative coordinates on an arbitrary Euclidean grid. City Chihuahua Ciudad Victoria Durango Mexico City Monterrey Morelia Oaxaca Puebla San Luis Potosi Villahermosa Horizontal 110 159 120 160 148 145 179 170 153 203 Vertical 120 80 81 42 92 42 26 40 61 35 You decide to estimate the distance of distributing the notebooks from a DC in one of a set of selected cities to the school children in another city. Given that you only need a quick and dirty estimate, you assume an Euclidean space and a circuity factor of 1.25, which gives you the distances in the table below (where cities are identified using the first three letters in their name). Regardless of which city the DC is located in, there will also be transportation from the DC to the school children within that same city. For distances inside each city, you assume 5 distance units, except for Mexico City, for which you use 10 distance units since it is a larger city. The distances between the cities are given in your arbitrary grid units, which may or may not be kilometers. Chi Ciu Dur Mex Mon Mor Oax Pue San Vil Chi 5 719 503 1158 590 1069 1458 1250 913 1575 Mex 1158 475 698 10 643 188 310 127 253 545 Mon 590 203 376 643 5 626 911 706 393 990 338 417 Pue 1250 519 808 127 706 313 208 5 San 913 249 482 253 393 258 545 338 5 704 After thinking about it for a while, your friend tells you that they may want to open two DCs. She wants these DCs to be located in two of the five candidate cities (Chihuahua, Mexico City, Monterrey, Puebla, San Luis Potosi), but they should not be located in the same city. The plan would be to distribute all the through these two DCs, using trucks. Let's assume that the cost of opening and operating such a DC in any of these cities would be the about the same, and that the cost of outbound transportation from the DC to the cities is about the same on a per unit per mile basis. In which two cities would you recommend that they open these two DCs, in order to minimize the outbound transportation costs? Select the answer options that apply. Use the same demand weights as in Part 2. (Hint: If you are puzzled by the fact that we are asking for this without providing any costs for DCs or trucks, you should start playing with different values and see how the model behaves.) Select all the correct answers. Note that upon submission, if some points have been awarded, all options selected will be marked as green (even the wrong ones). If no points have been awarded, all options selected will be marked as red (even the right ones). A message indicating "correct", "partially correct" or "incorrect" will appear below the question. We know this can be confusing and are working with edx software engineers on this issue. Chihuahua Mexico City Monterrey Puebla San Luis Potosi Curious about Sarah's request, you ask her what she is working on. She shares with you that together with her co-workers she is volunteering for an organization that will soon distribute notebooks to every school-aged child throughout Mexico. You suggest that solving this problem with equal weights is not good enough, since some cities surely have more schoolchildren than others. A quick online search provides you with approximate values for the populations of the different areas where the cities are located. Using these population values, you propose to your friend using weight values, as listed in the table below. City Chihuahua Ciudad Victoria Durango Mexico City Monterrey Weights 935260 Morelia Oaxaca Puebla 325220 524190 20623190 4565200 792850 656500 2958290 San Luis Potosi 1051410 Villahermosa 646400 Using these weights, solve this as a continuous, demand-weighted distance-minimizing, location (or Weber) problem. After some market research on carriers in Mexico, you calculate an average transportation cost of $1 per distance unit per 1010 notebooks (e.g. you would pay $100 to move 1010 notebooks 100 distance units). You also estimate that the fixed cost of operating each distribution center in one of these cities is $464,000 dollars per year. The yearly demands in the cities are approximated by the weights used in the previous parts. Assuming that these values are correct and applicable throughout the country, how many distribution centers would you recommend opening? Input your answer in integers. Where would you recommend that they open these DCs, in order to minimize the total cost (fixed + transportation)? Select all the correct answers. Note that upon submission, if some points have been awarded, all options selected will be marked as green (even the wrong ones). If no points have been awarded, all options selected will be marked as red (even the right ones). A message indicating "correct", "partially correct" or "incorrect" will appear below the question. We know this can be confusing and are working with edX software engineers on this issue. Chihuahua Mexico City Monterrey Puebla San Luis Potosi Submit You have used 0 of 2 attempts Save asks you to calculate the coordinates for a distribution center, so that she can minimize its distance to ten cities in Mexico." You found a map of Mexico online, and after asking Sarah for a list of the ten major cities in Mexico, you decide to use an improvised grid to assign horizontal and vertical coordinates to the cities. These coordinates, shown in the table below, use as origin a point in the top left corner of the map. You tried to make these units as close to kilometers as possible. However, you prefer to think of them as relative coordinates on an arbitrary Euclidean grid. City Chihuahua Ciudad Victoria Durango Mexico City Monterrey Morelia Oaxaca Puebla San Luis Potosi Villahermosa Horizontal 110 159 120 160 148 145 179 170 153 203 Vertical 120 80 81 42 92 42 26 40 61 35 You decide to estimate the distance of distributing the notebooks from a DC in one of a set of selected cities to the school children in another city. Given that you only need a quick and dirty estimate, you assume an Euclidean space and a circuity factor of 1.25, which gives you the distances in the table below (where cities are identified using the first three letters in their name). Regardless of which city the DC is located in, there will also be transportation from the DC to the school children within that same city. For distances inside each city, you assume 5 distance units, except for Mexico City, for which you use 10 distance units since it is a larger city. The distances between the cities are given in your arbitrary grid units, which may or may not be kilometers. Chi Ciu Dur Mex Mon Mor Oax Pue San Vil Chi 5 719 503 1158 590 1069 1458 1250 913 1575 Mex 1158 475 698 10 643 188 310 127 253 545 Mon 590 203 376 643 5 626 911 706 393 990 338 417 Pue 1250 519 808 127 706 313 208 5 San 913 249 482 253 393 258 545 338 5 704 After thinking about it for a while, your friend tells you that they may want to open two DCs. She wants these DCs to be located in two of the five candidate cities (Chihuahua, Mexico City, Monterrey, Puebla, San Luis Potosi), but they should not be located in the same city. The plan would be to distribute all the through these two DCs, using trucks. Let's assume that the cost of opening and operating such a DC in any of these cities would be the about the same, and that the cost of outbound transportation from the DC to the cities is about the same on a per unit per mile basis. In which two cities would you recommend that they open these two DCs, in order to minimize the outbound transportation costs? Select the answer options that apply. Use the same demand weights as in Part 2. (Hint: If you are puzzled by the fact that we are asking for this without providing any costs for DCs or trucks, you should start playing with different values and see how the model behaves.) Select all the correct answers. Note that upon submission, if some points have been awarded, all options selected will be marked as green (even the wrong ones). If no points have been awarded, all options selected will be marked as red (even the right ones). A message indicating "correct", "partially correct" or "incorrect" will appear below the question. We know this can be confusing and are working with edx software engineers on this issue. Chihuahua Mexico City Monterrey Puebla San Luis Potosi Curious about Sarah's request, you ask her what she is working on. She shares with you that together with her co-workers she is volunteering for an organization that will soon distribute notebooks to every school-aged child throughout Mexico. You suggest that solving this problem with equal weights is not good enough, since some cities surely have more schoolchildren than others. A quick online search provides you with approximate values for the populations of the different areas where the cities are located. Using these population values, you propose to your friend using weight values, as listed in the table below. City Chihuahua Ciudad Victoria Durango Mexico City Monterrey Weights 935260 Morelia Oaxaca Puebla 325220 524190 20623190 4565200 792850 656500 2958290 San Luis Potosi 1051410 Villahermosa 646400 Using these weights, solve this as a continuous, demand-weighted distance-minimizing, location (or Weber) problem. After some market research on carriers in Mexico, you calculate an average transportation cost of $1 per distance unit per 1010 notebooks (e.g. you would pay $100 to move 1010 notebooks 100 distance units). You also estimate that the fixed cost of operating each distribution center in one of these cities is $464,000 dollars per year. The yearly demands in the cities are approximated by the weights used in the previous parts. Assuming that these values are correct and applicable throughout the country, how many distribution centers would you recommend opening? Input your answer in integers. Where would you recommend that they open these DCs, in order to minimize the total cost (fixed + transportation)? Select all the correct answers. Note that upon submission, if some points have been awarded, all options selected will be marked as green (even the wrong ones). If no points have been awarded, all options selected will be marked as red (even the right ones). A message indicating "correct", "partially correct" or "incorrect" will appear below the question. We know this can be confusing and are working with edX software engineers on this issue. Chihuahua Mexico City Monterrey Puebla San Luis Potosi Submit You have used 0 of 2 attempts Save

Answer rating: 100% (QA)

When you visit a website like Google Maps or use your Smartphone to ask for directions from home to ... View the full answer