1. Explore the mess by answering the following questions: (a) What do we know? (b) What can we assume? (c) What could the results look like? (d) What information can be brought to bear? (e) What can we ask the client? (f) Are there any similar situations or problems? 2. Formulate one or more problem statements
1. Explore the mess by answering the following questions: (a) What do we know? (b) What can we assume? (c) What could the results look like? (d) What information can be brought to bear? (e) What can we ask the client? (f) Are there any similar situations or problems? 2. Formulate one or more problem statements
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
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...
Related questions
Question
For each of these cases, on photo prepare for building a model by reading the full case and answering the following questions. 1. Explore the mess by answering the following questions: (a) What do we know? (b) What can we assume? (c) What could the results look like? (d) What information can be brought to bear? (e) What can we ask the client? (f) Are there any similar situations or problems? 2. Formulate one or more problem statements
![ICEBERGS FOR KUWAIT
The cost of desalinating seawater using conventional tech-
nology in the Persian Gulf is high (around 0.1£ per cubic
meter) and requires extensive amounts of oil. Some time
ago scientists suggested that it could well prove both prac-
tically feasible and less expensive to tow icebergs from the
Antarctic, a distance of about 9,600 km. Although some of
the ice would undoubtedly melt in transit, it was thought
that a significant proportion of the iceberg would remain
intact upon arrival in the Gulf. Bear in mind that since water TABLE 2 Melting Rates (meter/day)
expands upon freezing, 1 cubic meter of ice produces only
0.85 cubic meter of water.
A study was carried out to evaluate the practical pro-
blems associated with such a proposal and to quantify the
factors that were likely to influence the economics of such a
venture. One factor was the difference in rental costs and
capacities of towing vessels (summarized in Table 1). Note
that each vessel has a maximum iceberg it can tow (mea-
sured in cubic meters). It was found that the melting rate of
the iceberg depends on both the towing speed and the
distance from the South Pole (see Table 2). The data in
480 MODELING CASES
distance from the Pole and at the given towing speed.
Finally, fuel cost was found to depend on the towing speed
and the (current) size of the iceberg (see Table 3).
Determine whether it is economically feasible to pro-
duce water from icebergs in the Persian Gulf, and if it is,
determine the best means to do so.
"Source: Cross, M. and A.O. Moscardini, 1985. Learning the Art of
Mathematical Modeling. Ellis Horward Limited, West Sussex.
TABLE 1 Towing Vessel Data
Ship Size
Small
Daily rental (£)
Maximum load
(cu meter)
Speed
1km/hr
5 km/hr
1,000
0.06
0.08
0.10
Speed
1km/hr
3 km/hr
5 km/hr
400
500,000
TABLE 3 Fuel Costs (£/km)
100,000
0.12
0.16
0.20
8.4
10.8
13.2
Medium
Distance from Pole (km)
2,000
3,000
600
1,000,000
0.18
0.24
0.30
this table represents the rate at which a hypothetical sphe-
rical iceberg shrinks in radius over a day at the given
10.5
13.5
16.5
Large
800
10,000,000
Current Volume (cu. meter)
1,000,000
24,000
0.24
0.32
0.40
10,000,000
12.6
16.2
19.8](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e07e836-44f7-47f7-88ba-d1b02e733d20%2F86dac5f2-9a04-4d2c-a497-02ee5913dc74%2Fcauvv0p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:ICEBERGS FOR KUWAIT
The cost of desalinating seawater using conventional tech-
nology in the Persian Gulf is high (around 0.1£ per cubic
meter) and requires extensive amounts of oil. Some time
ago scientists suggested that it could well prove both prac-
tically feasible and less expensive to tow icebergs from the
Antarctic, a distance of about 9,600 km. Although some of
the ice would undoubtedly melt in transit, it was thought
that a significant proportion of the iceberg would remain
intact upon arrival in the Gulf. Bear in mind that since water TABLE 2 Melting Rates (meter/day)
expands upon freezing, 1 cubic meter of ice produces only
0.85 cubic meter of water.
A study was carried out to evaluate the practical pro-
blems associated with such a proposal and to quantify the
factors that were likely to influence the economics of such a
venture. One factor was the difference in rental costs and
capacities of towing vessels (summarized in Table 1). Note
that each vessel has a maximum iceberg it can tow (mea-
sured in cubic meters). It was found that the melting rate of
the iceberg depends on both the towing speed and the
distance from the South Pole (see Table 2). The data in
480 MODELING CASES
distance from the Pole and at the given towing speed.
Finally, fuel cost was found to depend on the towing speed
and the (current) size of the iceberg (see Table 3).
Determine whether it is economically feasible to pro-
duce water from icebergs in the Persian Gulf, and if it is,
determine the best means to do so.
"Source: Cross, M. and A.O. Moscardini, 1985. Learning the Art of
Mathematical Modeling. Ellis Horward Limited, West Sussex.
TABLE 1 Towing Vessel Data
Ship Size
Small
Daily rental (£)
Maximum load
(cu meter)
Speed
1km/hr
5 km/hr
1,000
0.06
0.08
0.10
Speed
1km/hr
3 km/hr
5 km/hr
400
500,000
TABLE 3 Fuel Costs (£/km)
100,000
0.12
0.16
0.20
8.4
10.8
13.2
Medium
Distance from Pole (km)
2,000
3,000
600
1,000,000
0.18
0.24
0.30
this table represents the rate at which a hypothetical sphe-
rical iceberg shrinks in radius over a day at the given
10.5
13.5
16.5
Large
800
10,000,000
Current Volume (cu. meter)
1,000,000
24,000
0.24
0.32
0.40
10,000,000
12.6
16.2
19.8
![ICEBERGS FOR KUWAIT
The cost of desalinating seawater using conventional tech-
nology in the Persian Gulf is high (around 0.1£ per cubic
meter) and requires extensive amounts of oil. Some time
ago scientists suggested that it could well prove both prac-
tically feasible and less expensive to tow icebergs from the
Antarctic, a distance of about 9,600 km. Although some of
the ice would undoubtedly melt in transit, it was thought
that a significant proportion of the iceberg would remain
intact upon arrival in the Gulf. Bear in mind that since water TABLE 2 Melting Rates (meter/day)
expands upon freezing, 1 cubic meter of ice produces only
0.85 cubic meter of water.
A study was carried out to evaluate the practical pro-
blems associated with such a proposal and to quantify the
factors that were likely to influence the economics of such a
venture. One factor was the difference in rental costs and
capacities of towing vessels (summarized in Table 1). Note
that each vessel has a maximum iceberg it can tow (mea-
sured in cubic meters). It was found that the melting rate of
the iceberg depends on both the towing speed and the
distance from the South Pole (see Table 2). The data in
480 MODELING CASES
distance from the Pole and at the given towing speed.
Finally, fuel cost was found to depend on the towing speed
and the (current) size of the iceberg (see Table 3).
Determine whether it is economically feasible to pro-
duce water from icebergs in the Persian Gulf, and if it is,
determine the best means to do so.
"Source: Cross, M. and A.O. Moscardini, 1985. Learning the Art of
Mathematical Modeling. Ellis Horward Limited, West Sussex.
TABLE 1 Towing Vessel Data
Ship Size
Small
Daily rental (£)
Maximum load
(cu meter)
Speed
1km/hr
5 km/hr
1,000
0.06
0.08
0.10
Speed
1km/hr
3 km/hr
5 km/hr
400
500,000
TABLE 3 Fuel Costs (£/km)
100,000
0.12
0.16
0.20
8.4
10.8
13.2
Medium
Distance from Pole (km)
2,000
3,000
600
1,000,000
0.18
0.24
0.30
this table represents the rate at which a hypothetical sphe-
rical iceberg shrinks in radius over a day at the given
10.5
13.5
16.5
Large
800
10,000,000
Current Volume (cu. meter)
1,000,000
24,000
0.24
0.32
0.40
10,000,000
12.6
16.2
19.8](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e07e836-44f7-47f7-88ba-d1b02e733d20%2F86dac5f2-9a04-4d2c-a497-02ee5913dc74%2Fn3ka6m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:ICEBERGS FOR KUWAIT
The cost of desalinating seawater using conventional tech-
nology in the Persian Gulf is high (around 0.1£ per cubic
meter) and requires extensive amounts of oil. Some time
ago scientists suggested that it could well prove both prac-
tically feasible and less expensive to tow icebergs from the
Antarctic, a distance of about 9,600 km. Although some of
the ice would undoubtedly melt in transit, it was thought
that a significant proportion of the iceberg would remain
intact upon arrival in the Gulf. Bear in mind that since water TABLE 2 Melting Rates (meter/day)
expands upon freezing, 1 cubic meter of ice produces only
0.85 cubic meter of water.
A study was carried out to evaluate the practical pro-
blems associated with such a proposal and to quantify the
factors that were likely to influence the economics of such a
venture. One factor was the difference in rental costs and
capacities of towing vessels (summarized in Table 1). Note
that each vessel has a maximum iceberg it can tow (mea-
sured in cubic meters). It was found that the melting rate of
the iceberg depends on both the towing speed and the
distance from the South Pole (see Table 2). The data in
480 MODELING CASES
distance from the Pole and at the given towing speed.
Finally, fuel cost was found to depend on the towing speed
and the (current) size of the iceberg (see Table 3).
Determine whether it is economically feasible to pro-
duce water from icebergs in the Persian Gulf, and if it is,
determine the best means to do so.
"Source: Cross, M. and A.O. Moscardini, 1985. Learning the Art of
Mathematical Modeling. Ellis Horward Limited, West Sussex.
TABLE 1 Towing Vessel Data
Ship Size
Small
Daily rental (£)
Maximum load
(cu meter)
Speed
1km/hr
5 km/hr
1,000
0.06
0.08
0.10
Speed
1km/hr
3 km/hr
5 km/hr
400
500,000
TABLE 3 Fuel Costs (£/km)
100,000
0.12
0.16
0.20
8.4
10.8
13.2
Medium
Distance from Pole (km)
2,000
3,000
600
1,000,000
0.18
0.24
0.30
this table represents the rate at which a hypothetical sphe-
rical iceberg shrinks in radius over a day at the given
10.5
13.5
16.5
Large
800
10,000,000
Current Volume (cu. meter)
1,000,000
24,000
0.24
0.32
0.40
10,000,000
12.6
16.2
19.8
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