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03/07/2020 Problem 3 - PureCoffee | Test for Module 4 | Material didático CTL.SC0x | edX
https://courses.edx.org/courses/course-v1:MITx+CTL.SC0x+1T2020a/courseware/9c1f0f8fcfc44a53977fb13504de4c90/ae01b15a370f44a89e3851cfbd7243e5/ 1/4
Curso  
Module 4 - Optimization {Time: 21
hours}  Test for Module 4  Problem 3 - PureCo�ee
Problem 3 - PureCo�ee
Test due Jul 8, 2020 12:00 -03
PureCo�ee
0.0/8.0 points (graded)
PureCo�ee imports high quality co�ee beans from Africa and South America. They roast the beans in a innovative process
slowly and gently to create a unique taste of co�ee. Pure Co�ee serves three markets (M1, M2, and M3) in Europe. Market
demand for the next week is given in the following table.
Market Demand (tons per week)
Market 1 (M1) 1000
Market 2 (M2) 1000
Market 3 (M3) 300
To serve Europe they have two roasting plants available - one in the North of Europe (N) and one in the South of Europe (S).
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03/07/2020 Problem 3 - PureCoffee | Test for Module 4 | Material didático CTL.SC0x | edX
https://courses.edx.org/courses/course-v1:MITx+CTL.SC0x+1T2020a/courseware/9c1f0f8fcfc44a53977fb13504de4c90/ae01b15a370f44a89e3851cfbd7243e5/ 2/4
Roasting Plant Capacity (tons per week)
North (N) 2000
South (S) 300
Currently they are using two distribution centers in Europe to connect the roasting plants with markets. They ship the roasted
beans from the production sites to the distribution centers and distribute from there to three di�erent markets.
The cost to transport a ton of roasted beans from a roasting plant to a dibstrution center and from the distribution center to
the customers depends on the distances between the di�erent locations. These costs are given in the two tables below:
Origin: Roasting
Plant
Destination: Distribution
Center
Transportation Cost
(Euros/ton)
North (N)
Distribution Center A 56
Distribution Center B 40
South (S)
Distribution Center A 44
Distribution Center B 54
Origin: Distribution Center Destination: Market Transportation Cost (Euros/ton)
Market 1 51
03/07/2020 Problem 3 - PureCoffee | Test for Module 4 | Material didático CTL.SC0x | edX
https://courses.edx.org/courses/course-v1:MITx+CTL.SC0x+1T2020a/courseware/9c1f0f8fcfc44a53977fb13504de4c90/ae01b15a370f44a89e3851cfbd7243e5/ 3/4
Distribution Center A Market 2 53
Market 3 43
Market 1 54
Distribution Center B Market 2 70
Market 3 78
PureCo�ee wants to minimize the total weekly cost. They ask you to optimize the roasted beans �ow from the processing
facilities to their customers.
In the optimal solution, what is the minimum total weekly cost of moving roasted beans from roasting plants to customers?
Enter your answer in Euros without a currency symbol.
 
 
How many tons of roasted beans should PureCo�ee ship through Distribution Center B per week?
 
03/07/2020 Problem 3 - PureCoffee | Test for Module 4 | Material didático CTL.SC0x | edX
https://courses.edx.org/courses/course-v1:MITx+CTL.SC0x+1T2020a/courseware/9c1f0f8fcfc44a53977fb13504de4c90/ae01b15a370f44a89e3851cfbd7243e5/ 4/4
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