Monthly Demand 50 abi 120 280 guarantee supplies from de to sign a contract wit rom the roaster to the 3
Monthly Demand 50 abi 120 280 guarantee supplies from de to sign a contract wit rom the roaster to the 3
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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6. Find the formulation for the coffee demand in Dubai.
7. Find the constraints will ensure that if Roaster A is selected then Roaster E cannot be
selected.
![Your company is a major distributor of coffee in the UAE. You can buy coffee from 5 roasters and distribute the coffee to
three UAE cities (Al-Ain, Abu Dhabi, and Dubai). The monthly demand in the three cities is as follows:
City
Monthly Demand (tons)
1- Al-Ain
50
2- Abu Dhabi
120
3- Dubai
280
In order to guarantee supplies from the five coffee roasters, you need to sign a monthly contract and pay a monthly fee.
If you decide to sign a contract with a roaster, then you can use its supplies and pay for transportation cost of the coffee
supplied from the roaster to the 3 cities. The production capacity of each roaster and their monthly fee are as follows:
Roaster
Monthly Supply (tons)
Monthly Fee (contract)
A
75
$800
B
150
$1200
с
175
$1350
D
200
$1500
E
125
$1000
The transportation cost per ton of coffee from roasters to the 3 UAE cities is as follows:
Roaster
Al-Ain
Abu Dhabi
Dubai
A
$5
$8
$6
B
$3
$6
$7
C
$4
$9
$6
D
$8
$5
$9
E
$7
$9
$2
Your company asked you to minimize the total monthly cost of coffee supply from the five roasters and coffee
distribution to the three UAE cities.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F692c5ab1-c65d-4685-85bd-255c756630fb%2F66004974-dfca-403f-b4d6-1f2d1ffd34d2%2Fgi0ci6f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Your company is a major distributor of coffee in the UAE. You can buy coffee from 5 roasters and distribute the coffee to
three UAE cities (Al-Ain, Abu Dhabi, and Dubai). The monthly demand in the three cities is as follows:
City
Monthly Demand (tons)
1- Al-Ain
50
2- Abu Dhabi
120
3- Dubai
280
In order to guarantee supplies from the five coffee roasters, you need to sign a monthly contract and pay a monthly fee.
If you decide to sign a contract with a roaster, then you can use its supplies and pay for transportation cost of the coffee
supplied from the roaster to the 3 cities. The production capacity of each roaster and their monthly fee are as follows:
Roaster
Monthly Supply (tons)
Monthly Fee (contract)
A
75
$800
B
150
$1200
с
175
$1350
D
200
$1500
E
125
$1000
The transportation cost per ton of coffee from roasters to the 3 UAE cities is as follows:
Roaster
Al-Ain
Abu Dhabi
Dubai
A
$5
$8
$6
B
$3
$6
$7
C
$4
$9
$6
D
$8
$5
$9
E
$7
$9
$2
Your company asked you to minimize the total monthly cost of coffee supply from the five roasters and coffee
distribution to the three UAE cities.
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