Since you are attending the SC2x course, your best friend Sarah knows that you learned how to calculate, for a given gro

[answerhappygod]

Since you are attending the SC2x course, your best friend Sarahknows that you learned how to calculate, for a given group ofcities with their Cartesian coordinates, a location for adistribution center that would minimize the distance. Thus, sheasks you to calculate the coordinates for a distribution center, sothat she can minimize its distance to tencities in Mexico."
You found a map of Mexico online, and after asking Sarah for alist of the ten major cities in Mexico, you decide to use animprovised grid to assign horizontal and vertical coordinates tothe cities. These coordinates, shown in the table below,use as origin a point in the top left corner of themap. You tried to make these units as close to kilometers aspossible. However, you prefer to think of them as relativecoordinates on an arbitrary Euclidean grid.
"Do you have weights for these cities?", you ask yourfriend.
"No", she says, "but let's assume they all have equalweight, a weight of 1 for example".
Part 0
0 points possible (ungraded)
Giving each city equal weight, calculate the location for thedistribution center that would minimize the distance to the tencities provided. Solve this as a continuous, distance-minimizing,location (or Weber) problem with equal weights for all cities.
Which of the following coordinates is nearest to the locationfound? This question is not graded, it just serves to help youcheck whether you are on the right track!
Select the best answer
Horizontal: 110. Vertical: 40.
Horizontal: 130. Vertical: 50.
Horizontal: 150. Vertical: 60.
Horizontal: 170. Vertical: 70.
correct
Explanation
See explanation of Part 1.
SaveSave your answerShow answer
Submit
You have used 1 of 2 attemptsSome problems have options such assave, reset, hints, or show answer. These options follow the Submitbutton.
Answers are displayed within the problem
Review
Part 1
0.5/0.5 points (graded)
For the location whose coordinates you calculated above:
What is the exact horizontalcoordinate? correct
What is the exact verticalcoordinate? correct
SaveSave your answer
Submit
You have used 1 of 2 attemptsSome problems have options such assave, reset, hints, or show answer. These options follow the Submitbutton.
Correct (0.5/0.5 points)
Review
Part 2
0.5/0.5 points (graded)
Curious about Sarah's request, you ask her what she is workingon. She shares with you that together with her co-workers she isvolunteering for an organization that will soon distributenotebooks to every school-aged child throughout Mexico. You suggestthat solving this problem with equal weights is not good enough,since some cities surely have more schoolchildren than others. Aquick online search provides you with approximate values for thepopulations of the different areas where the cities are located.Using these population values, you propose to your friend usingweight values, as listed in the table below.
Using these weights, solve this as a continuous, demand-weighteddistance-minimizing, location (or Weber) problem.
What is the horizontal coordinate? correct
What is the vertical coordinate? correct
SaveSave your answer
Submit
You have used 1 of 2 attemptsSome problems have options such assave, reset, hints, or show answer. These options follow the Submitbutton.
Correct (0.5/0.5 points)
Review
Part 3
0/0.5 points (graded)
You decide to estimate the distance of distributing thenotebooks from a DC in one of a set of selected cities to theschool children in another city. Given that you only need a quickand dirty estimate, you assume an Euclidean space and a circuityfactor of 1.25, which gives you the distances in the table below(where cities are identified using the first three letters in theirname). Regardless of which city the DC is located in, there willalso be transportation from the DC to the school children withinthat same city. For distances inside each city, you assume 5distance units, except for Mexico City, for which you use 10distance units since it is a larger city.
The distances between the cities are given in your arbitrarygrid units, which may or may not be kilometers.
After thinking about it for a while, your friend tells you thatthey may want to open two DCs. She wants these DCs to be located intwo of the five candidate cities (Chihuahua, Mexico City,Monterrey, Puebla, San Luis Potosi), but they should not be locatedin the same city. The plan would be to distribute all the hundredsof thousands of notebooks through these two DCs, using trucks.Let's assume that the cost of opening and operating such a DC inany of these cities would be the about the same, and that the costof outbound transportation from the DC to the cities is about thesame on a per unit per mile basis.
In which two cities would you recommend that they open these twoDCs, in order to minimize the outbound transportation costs? Selectthe answer options that apply. Use the same demand weights as inPart 2. (Hint: If you are puzzled by the fact that we are askingfor this without providing any costs for DCs or trucks, you shouldstart playing with different values and see how the modelbehaves.)
Select all the correct answers. Note that upon submission, ifsome points have been awarded, all options selected will be markedas green (even the wrong ones). If no points have been awarded, alloptions selected will be marked as red (even the right ones). Amessage indicating "correct", "partially correct" or "incorrect"will appear below the question. We know this can be confusing andare working with edX software engineers on this issue.
Chihuahua
Mexico City
Monterrey
Puebla
San Luis Potosi
incorrect
SaveSave your answer
Submit
You have used 1 of 2 attemptsSome problems have options such assave, reset, hints, or show answer. These options follow the Submitbutton.
Incorrect (0/0.5 points)
Review
Part 4
0.0/1.0 point (graded)
After some market research on carriers in Mexico, you calculatean average transportation cost of $1 per distance unit per 1017notebooks (e.g. you would pay $100 to move 1017 notebooks 100distance units). You also estimate that the fixed cost of operatingeach distribution center in one of these cities is $464,000 dollarsper year. The yearly demands in the cities are approximated by theweights used in the previous parts.
Assuming that these values are correct and applicable throughoutthe country, how many distribution centers would you recommendopening?
Input your answer in integers. unanswered
Where would you recommend that they open these DCs, in order tominimize the total cost (fixed + transportation)?
Select all the correct answers. Note that upon submission, ifsome points have been awarded, all options selected will be markedas green (even the wrong ones). If no points have been awarded, alloptions selected will be marked as red (even the right ones). Amessage indicating "correct", "partially correct" or "incorrect"will appear below the question. We know this can be confusing andare working with edX software engineers on this issue.
Chihuahua
Mexico City
Monterrey
Puebla
San Luis Potosi
unanswered