Mission College Application of Linear Algebra Questions

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Mission College

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. Casper Geriatric Center, a senior medical facility located in a large hospital in New Zealand, started a procedure where their guests receive their meals in their rooms while the food is still as hot as possible. The facility will continue to prepare the food in the commissary, but will now deliver it in bulk (not individual servings) to one of three new meal serving stations in the building. From there, the food will be reheated, meals will be placed on individual trays, loaded onto a cart, and distributed to the various floors and sections of the facility.

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The three new serving stations are as efficiently located as possible to reach the various hallways in the facility. The purpose of the new procedure is to increase the temperature of the hot meals that the guest receives. Therefore, the amount of time needed to deliver a tray from a serving station will determine the proper distribution of food from serving station to section. The table below summarizes the time associated with each possible distribution channel.

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DISTRIBUTION TIME (minutes)

   

TO:   DESTINATIONS

 

FROM:

SOURCES


Section   A


Section   B


Section   C


Section   D


Section   E


Section   F

 

Station   10J


12


11


8


9


6


6

 

Station   6G


6


12


7


7


5


8

 

Station   2L


8


9


6


6


7


9

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Station 10J can supply 200 meals. Station 6G can produce 225. The maximum that Station 2L can prepare is 275. This month, there are 700 guests in the facility, 30% are in Section D, 160 are divided equally in Sections A and F, Section B has 120, Section C has 30 more patients than Section B, and the rest are in Section E.

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1) Is this a balanced or unbalanced problem?

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2) Is it a minimization or maximization problem?

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3) Explain your answer.

Unformatted Attachment Preview

2. Casper Geriatric Center, a senior medical facility located in a large hospital in New Zealand, started a procedure where their guests receive their meals in their rooms while the food is still as hot as possible. The facility will continue to prepare the food in the commissary, but will now deliver it in bulk (not individual servings) to one of three new meal serving stations in the building. From there, the food will be reheated, meals will be placed on individual trays, loaded onto a cart, and distributed to the various floors and sections of the facility. The three new serving stations are as efficiently located as possible to reach the various hallways in the facility. The purpose of the new procedure is to increase the temperature of the hot meals that the guest receives. Therefore, the amount of time needed to deliver a tray from a serving station will determine the proper distribution of food from serving station to section. The table below summarizes the time associated with each possible distribution channel. DISTRIBUTION TIME (minutes) TO: DESTINATIONS FROM: Section A Section B Section C Section D Section E Section F SOURCES Station 10J 12 11 8 9 6 6 Station 6G 6 12 7 7 5 8 Station 2L 8 9 6 6 7 9 Station 10J can supply 200 meals. Station 6G can produce 225. The maximum that Station 2L can prepare is 275. This month, there are 700 guests in the facility, 30% are in Section D, 160 are divided equally in Sections A and F, Section B has 120, Section C has 30 more patients than Section B, and the rest are in Section E. 1) Is this a balanced or unbalanced problem? 2) Is it a minimization or maximization problem? 3) Explain your answer. 3. Casper Geriatric Center, a senior medical facility located in a large hospital in New Zealand, started a procedure where their guests receive their meals in their rooms while the food is still as hot as possible. The facility will continue to prepare the food in the commissary, but will now deliver it in bulk (not individual servings) to one of three new meal serving stations in the building. From there, the food will be reheated, meals will be placed on individual trays, loaded onto a cart, and distributed to the various floors and sections of the facility. The three new serving stations are as efficiently located as possible to reach the various hallways in the facility. The purpose of the new procedure is to increase the temperature of the hot meals that the guest receives. Therefore, the amount of time needed to deliver a tray from a serving station will determine the proper distribution of food from serving station to section. The table below summarizes the time associated with each possible distribution channel. DISTRIBUTION TIME (minutes) TO: DESTINATIONS FROM: Section A Section B Section C Section D Section E Section F SOURCES Station 10J 12 11 8 9 6 6 Station 6G 6 12 7 7 5 8 Station 2L 8 9 6 6 7 9 Station 10J can supply 200 meals. Station 6G can produce 225. The maximum that Station 2L can prepare is 275. This month, there are 700 guests in the facility, 30% are in Section D, 160 are divided equally in Sections A and F, Section B has 120, Section C has 30 more patients than Section B, and the rest are in Section E. The capacity of Stations 10J and 6G is _____ meals. 4. Casper Geriatric Center, a senior medical facility located in a large hospital in New Zealand, started a procedure where their guests receive their meals in their rooms while the food is still as hot as possible. The facility will continue to prepare the food in the commissary, but will now deliver it in bulk (not individual servings) to one of three new meal serving stations in the building. From there, the food will be reheated, meals will be placed on individual trays, loaded onto a cart, and distributed to the various floors and sections of the facility. The three new serving stations are as efficiently located as possible to reach the various hallways in the facility. The purpose of the new procedure is to increase the temperature of the hot meals that the guest receives. Therefore, the amount of time needed to deliver a tray from a serving station will determine the proper distribution of food from serving station to section. The table below summarizes the time associated with each possible distribution channel. DISTRIBUTION TIME (minutes) TO: DESTINATIONS FROM: Section A Section B Section C Section D Section E Section F SOURCES Station 10J 12 11 8 9 6 6 Station 6G 6 12 7 7 5 8 Station 2L 8 9 6 6 7 9 Station 10J can supply 200 meals. Station 6G can produce 225. The maximum that Station 2L can prepare is 275. This month, there are 700 guests in the facility, 30% are in Section D, 160 are divided equally in Sections A and F, Section B has 120, Section C has 30 more patients than Section B, and the rest are in Section E. What is the value of your optimal solution in hours? Note: Round your answer to the nearest hour. 5. Casper Geriatric Center, a senior medical facility located in a large hospital in New Zealand, started a procedure where their guests receive their meals in their rooms while the food is still as hot as possible. The facility will continue to prepare the food in the commissary, but will now deliver it in bulk (not individual servings) to one of three new meal serving stations in the building. From there, the food will be reheated, meals will be placed on individual trays, loaded onto a cart, and distributed to the various floors and sections of the facility. The three new serving stations are as efficiently located as possible to reach the various hallways in the facility. The purpose of the new procedure is to increase the temperature of the hot meals that the guest receives. Therefore, the amount of time needed to deliver a tray from a serving station will determine the proper distribution of food from serving station to section. The table below summarizes the time associated with each possible distribution channel. DISTRIBUTION TIME (minutes) TO: DESTINATIONS FROM: Section A Section B Section C Section D Section E Section F SOURCES Station 10J 12 11 8 9 6 6 Station 6G 6 12 7 7 5 8 Station 2L 8 9 6 6 7 9 Station 10J can supply 200 meals. Station 6G can produce 225. The maximum that Station 2L can prepare is 275. This month, there are 700 guests in the facility, 30% are in Section D, 160 are divided equally in Sections A and F, Section B has 120, Section C has 30 more patients than Section B, and the rest are in Section E. In your optimal solution, where will section D get its meals, and how many from each station? Group of answer choices Stations 10J and 2L, 100 and 110 meals from each station respectively. Stations 6G and 2L, 145 and 65 meals from each station respectively. Stations 6G and 2L, 150 and 60 meals, respectively from each station. Station 10J and 6G, 145 and 65 meals from each station respectively. 6. Korina is a manager of Good Stuffing Sausage Company. The company produces meat products for many of the grocery stores and restaurants in the Las Vegas area. The company has a major plant in Henderson and a warehouse in Las Vegas. Korina’s problem is getting the finished product to the warehouse. However, she is not good at distances. She is more familiar with delivery times. Las Vegas is a big city with several roads that could be taken from the plant to the warehouse, shown below: The manufacturing facility is located at the corner of North Street and Columbine Street. High Street also intersects North and Columbine Street at the plant. Twenty minutes due north of the plant on North Street is I-70, the major east–west highway in Las Vegas. North Street intersects I-70 at Exit 135. It takes five minutes driving east on I-70 to reach Exit 136. This exit connects I-70 with High Street and 6th Avenue. Ten minutes east on I-70 is Exit 137. This exit connects I-70 with Rose Street and South Avenue. From the plant, it takes 20 minutes on High Street, which goes in a northeast direction, to reach West Street. It takes another 20 minutes on High Street to reach I-70 and Exit 136. It takes 30 minutes on Columbine Street to reach West Street from the plant. Columbine Street travels east and slightly north. West Street travels east and west. From High Street, it takes 15 minutes to get to 6th Avenue on West Street. Columbine Street also comes into this intersection. From this intersection, it takes an additional 20 minutes on West Street to get to Rose Street, and another 15 minutes to get to South Avenue. From Exit 136 on 6th Avenue, it takes 5 minutes to get to West Street. Sixth Avenue continues to Rose Street, requiring 25 minutes. Sixth Avenue then goes directly to the warehouse. From Rose Street, it takes 40 minutes to get to the warehouse on 6th Avenue. At Exit 137, Rose Street travels southwest. It takes 20 minutes to intersect with West Street, and another 20 minutes to get to 6th Avenue. From Exit 137, South Avenue goes due south. It takes 10 minutes to get to West Street and another 15 minutes to get to the Warehouse. This is a minimal spanning problem. Group of answer choices True False 7. Korina is a manager of Good Stuffing Sausage Company. The company produces meat products for many of the grocery stores and restaurants in the Las Vegas area. The company has a major plant in Henderson and a warehouse in Las Vegas. Korina’s problem is getting the finished product to the warehouse. However, she is not good at distances. She is more familiar with delivery times. Las Vegas is a big city with several roads that could be taken from the plant to the warehouse, shown below: The manufacturing facility is located at the corner of North Street and Columbine Street. High Street also intersects North and Columbine Street at the plant. Twenty minutes due north of the plant on North Street is I-70, the major east–west highway in Las Vegas. North Street intersects I-70 at Exit 135. It takes five minutes driving east on I-70 to reach Exit 136. This exit connects I-70 with High Street and 6th Avenue. Ten minutes east on I-70 is Exit 137. This exit connects I-70 with Rose Street and South Avenue. From the plant, it takes 20 minutes on High Street, which goes in a northeast direction, to reach West Street. It takes another 20 minutes on High Street to reach I-70 and Exit 136. It takes 30 minutes on Columbine Street to reach West Street from the plant. Columbine Street travels east and slightly north. West Street travels east and west. From High Street, it takes 15 minutes to get to 6th Avenue on West Street. Columbine Street also comes into this intersection. From this intersection, it takes an additional 20 minutes on West Street to get to Rose Street, and another 15 minutes to get to South Avenue. From Exit 136 on 6th Avenue, it takes 5 minutes to get to West Street. Sixth Avenue continues to Rose Street, requiring 25 minutes. Sixth Avenue then goes directly to the warehouse. From Rose Street, it takes 40 minutes to get to the warehouse on 6th Avenue. At Exit 137, Rose Street travels southwest. It takes 20 minutes to intersect with West Street, and another 20 minutes to get to 6th Avenue. From Exit 137, South Avenue goes due south. It takes 10 minutes to get to West Street and another 15 minutes to get to the Warehouse. How many branches are there in this network? 8. Korina is a manager of Good Stuffing Sausage Company. The company produces meat products for many of the grocery stores and restaurants in the Las Vegas area. The company has a major plant in Henderson and a warehouse in Las Vegas. Korina’s problem is getting the finished product to the warehouse. However, she is not good at distances. She is more familiar with delivery times. Las Vegas is a big city with several roads that could be taken from the plant to the warehouse, shown below: The manufacturing facility is located at the corner of North Street and Columbine Street. High Street also intersects North and Columbine Street at the plant. Twenty minutes due north of the plant on North Street is I-70, the major east–west highway in Las Vegas. North Street intersects I-70 at Exit 135. It takes five minutes driving east on I-70 to reach Exit 136. This exit connects I-70 with High Street and 6th Avenue. Ten minutes east on I-70 is Exit 137. This exit connects I-70 with Rose Street and South Avenue. From the plant, it takes 20 minutes on High Street, which goes in a northeast direction, to reach West Street. It takes another 20 minutes on High Street to reach I-70 and Exit 136. It takes 30 minutes on Columbine Street to reach West Street from the plant. Columbine Street travels east and slightly north. West Street travels east and west. From High Street, it takes 15 minutes to get to 6th Avenue on West Street. Columbine Street also comes into this intersection. From this intersection, it takes an additional 20 minutes on West Street to get to Rose Street, and another 15 minutes to get to South Avenue. From Exit 136 on 6th Avenue, it takes 5 minutes to get to West Street. Sixth Avenue continues to Rose Street, requiring 25 minutes. Sixth Avenue then goes directly to the warehouse. From Rose Street, it takes 40 minutes to get to the warehouse on 6th Avenue. At Exit 137, Rose Street travels southwest. It takes 20 minutes to intersect with West Street, and another 20 minutes to get to 6th Avenue. From Exit 137, South Avenue goes due south. It takes 10 minutes to get to West Street and another 15 minutes to get to the Warehouse. How many hours will it take to drive through Nodes 2-4-8, starting from Node 2. 9. Korina is a manager of Good Stuffing Sausage Company. The company produces meat products for many of the grocery stores and restaurants in the Las Vegas area. The company has a major plant in Henderson and a warehouse in Las Vegas. Korina’s problem is getting the finished product to the warehouse. However, she is not good at distances. She is more familiar with delivery times. Las Vegas is a big city with several roads that could be taken from the plant to the warehouse, shown below: The manufacturing facility is located at the corner of North Street and Columbine Street. High Street also intersects North and Columbine Street at the plant. Twenty minutes due north of the plant on North Street is I-70, the major east–west highway in Las Vegas. North Street intersects I-70 at Exit 135. It takes five minutes driving east on I-70 to reach Exit 136. This exit connects I-70 with High Street and 6th Avenue. Ten minutes east on I-70 is Exit 137. This exit connects I-70 with Rose Street and South Avenue. From the plant, it takes 20 minutes on High Street, which goes in a northeast direction, to reach West Street. It takes another 20 minutes on High Street to reach I-70 and Exit 136. It takes 30 minutes on Columbine Street to reach West Street from the plant. Columbine Street travels east and slightly north. West Street travels east and west. From High Street, it takes 15 minutes to get to 6th Avenue on West Street. Columbine Street also comes into this intersection. From this intersection, it takes an additional 20 minutes on West Street to get to Rose Street, and another 15 minutes to get to South Avenue. From Exit 136 on 6th Avenue, it takes 5 minutes to get to West Street. Sixth Avenue continues to Rose Street, requiring 25 minutes. Sixth Avenue then goes directly to the warehouse. From Rose Street, it takes 40 minutes to get to the warehouse on 6th Avenue. At Exit 137, Rose Street travels southwest. It takes 20 minutes to intersect with West Street, and another 20 minutes to get to 6th Avenue. From Exit 137, South Avenue goes due south. It takes 10 minutes to get to West Street and another 15 minutes to get to the Warehouse. Which arc takes the longest to travel? 10. Korina is a manager of Good Stuffing Sausage Company. The company produces meat products for many of the grocery stores and restaurants in the Las Vegas area. The company has a major plant in Henderson and a warehouse in Las Vegas. Korina’s problem is getting the finished product to the warehouse. However, she is not good at distances. She is more familiar with delivery times. Las Vegas is a big city with several roads that could be taken from the plant to the warehouse, shown below: The manufacturing facility is located at the corner of North Street and Columbine Street. High Street also intersects North and Columbine Street at the plant. Twenty minutes due north of the plant on North Street is I-70, the major east–west highway in Las Vegas. North Street intersects I-70 at Exit 135. It takes five minutes driving east on I-70 to reach Exit 136. This exit connects I-70 with High Street and 6th Avenue. Ten minutes east on I-70 is Exit 137. This exit connects I-70 with Rose Street and South Avenue. From the plant, it takes 20 minutes on High Street, which goes in a northeast direction, to reach West Street. It takes another 20 minutes on High Street to reach I-70 and Exit 136. It takes 30 minutes on Columbine Street to reach West Street from the plant. Columbine Street travels east and slightly north. West Street travels east and west. From High Street, it takes 15 minutes to get to 6th Avenue on West Street. Columbine Street also comes into this intersection. From this intersection, it takes an additional 20 minutes on West Street to get to Rose Street, and another 15 minutes to get to South Avenue. From Exit 136 on 6th Avenue, it takes 5 minutes to get to West Street. Sixth Avenue continues to Rose Street, requiring 25 minutes. Sixth Avenue then goes directly to the warehouse. From Rose Street, it takes 40 minutes to get to the warehouse on 6th Avenue. At Exit 137, Rose Street travels southwest. It takes 20 minutes to intersect with West Street, and another 20 minutes to get to 6th Avenue. From Exit 137, South Avenue goes due south. It takes 10 minutes to get to West Street and another 15 minutes to get to the Warehouse. What is the value of the optimal solution in minutes? 11. A manager needs to assign her team to work on different types of programs in the community. Any team can work on any of the programs. However, the manager feels that there is a difference in the amount of time it would take each group to finish their tasks for each program. Her estimate of the time to complete in hours is given below. Programs Business Education Surveys Beautification Group 1 32 35 15 27 Group 2 38 40 18 35 Group 3 41 42 25 38 Group 4 45 45 30 42 What is the total number of hours the teams will spend on the projects? Group of answer choices 140 132 139 131 12. A plant manager is trying to assign her teams to produce the most number of parts per hour of a certain product. Cindy has three teams and four possible work hubs. The estimated number of parts per hour for each team at each work hub is as follows: Work Hub 1 Work Hub 2 Work Hub 3 Work Hub 4 Team A 15 20 18 30 Team B 20 22 26 30 Team C 25 26 27 30 With the optimal solution, which of the following statements is NOT true? Group of answer choices Team C should be assigned to Work Hub 1 Team B should be assigned to Work Hub 3 Team C should be assigned to Work Hub 2 Team A should be assigned to Work Hub 4 13. Daniel needs to assign his mechanics to four pending jobs. The table below shows how much time (in minutes) it takes each mechanic to perform each job. Help Daniel determine the optimal assignments. What is the value of the optimal solution? Group of answer choices 4 16 8 17 14. The table below shows how much time (in minutes) it takes each mechanic to perform each job. Help Daniel determine the optimal assignments. In the optimal solution, who should be assigned to work on Job 4? Group of answer choices Worker A Worker D Worker C Worker B 15. Given the following distances between destination nodes, what is the minimum distance that connects all the nodes? From To Distance 1 2 200 1 3 300 2 3 350 2 4 350 3 4 250 Group of answer choices 100 850 750 900 16. This is an ESSAY question. You NEED to type in your answers in the space provided for this problem. ******** One hundred years ago, a high plains area near the continental divide in Colorado was used as a working ranch. The views were majestic, although the winters could be harsh. As a result of the boom in skiing, snowmobiling, and other winter sports, the area quickly became a major tourist attraction. The result was a higher population base to support tourism and increased property values. During the late 1960s and 1970s, the area experienced dramatic growth. Many people from states such as Oklahoma and Texas vacationed here, and so purchased land, houses, or condominiums. Many property developers who finished their projects before the mid-1980s and early 1990s did very well financially. The success of other developers led to the organization of the Ranch Development Project. The Ranch Development Project was undertaken by two real estate companies in the Colorado high country and several investors from Oklahoma. The idea was to convert the working ranch into a luxury single-family development. The project became known as The Ranch. The average home price was $475,000, and it was not uncommon to have homes valued at more than $1 million. The center of the development was a first-class 18-hole golf course. Green fees could approach $100 per day, depending on services required. Some have claimed that the course is one of the best in Colorado. The Ranch also had a four-star restaurant located in a beautiful and spacious log cabin, which included a fireplace big enough for a 6-foot-tall person to walk into without hitting his head. Other amenities included a heated pool, lighted tennis courts, and a complete workout center. Free shuttle service was provided to the ski slopes a few miles away. To preserve the beauty of the area and to enhance property values, each home site varied from 1 acre to more than 20 acres. There were numerous building restrictions. Every home and structure had to be approved by the Ranch Development Board. Approval required developing a scale model of all buildings on the property and a complete set of blueprints. The average cost of preparing the necessary plans was $25,000. The concept of a footprint was also used. A footprint is a relatively small circular area on each plot of land. Homes and all structures had to be placed inside the footprint. Although the homeowner held title to the entire property, all structures had to be placed in the footprint unless special permission was given by the Ranch Development Board (a rare occurrence). Each homeowner had to pay monthly fees, depending on the location and value of the land. The fees could vary from $450 to more than $1,250 per month. These fees included water, sewer, cable TV, and access to the pool, tennis courts, and exercise facility. Golf and restaurant fees were additional. One of the developments in The Ranch is outlined in the figure below this problem. The development was not as close to the golf course as some of the others, but it had a beautiful trout stream and pond in the center. The footprints are shown in the network. Distances between footprints are given in hundreds of feet. Requirements: 1) Determine the least expensive way to connect all the homes with water and sewer lines. Assume that minimizing total distance will also minimize total costs. • HINT: Type in the total minimum distance to connect nodes and how the nodes connect. 2) The Ranch Development Board is considering the possibility of expanding the pond area. This would allow for boating, including sailing and water skiing. This would increase property values, but some distances would change. The distance for path 11–16 would be 9, and the distance for path 16–22 would be 12. What impact would this have on the plan for the water and sewer system? • HINT: Compute for a new optimal solution, then discuss the impact. Type it in! 3) Do you think it's worth it to expand the pond area? Explain your answer. Recommend a strategy for the Ranch Development Board. 17. This is an ESSAY question. You NEED to type in your answers in the space provided for this problem. ****** In rural west Michigan, there are six farms (numbered 1 – 6) connected by small roads. The distances in miles between the farms are given in the following table. From Farm To Farm Distance 1 2 8 1 3 10 2 3 4 2 4 9 2 5 5 3 4 6 3 5 2 4 5 3 4 6 6 5 6 5 Requirements: 1. Determine the minimum distance required to get from farm 1 to farm 6. 2. The farmers decided to install cable for television and Internet connections. Determine the minimum amount of cable required to connect all 6 farms. 3. A seventh farmer wants to join the group of six farmers. The distance of this farm is 8 miles from farm 4, 9 miles from farm 5, and 5 miles from farm 6. Determine the minimum amount of cable required to connect all 7 farms. 4. Discuss the impact of the 7th farmer joining and recommend a strategy for the group of farmers. 18. This is an ESSAY question. You NEED to type in your answers in the space provided for this problem. **** Silver Valley Club decided to install a fiber-optic cable system in its village. The table below has information on the distances between the various buildings in the village. Distance in hundreds of feet TO FROM Building 1 Building 2 Building 3 Building 4 Building 5 Building 1 Building 2 Building 3 Building 4 Building 5 Building 6 3 7 5 5 4 5 2 6 6 5 4 4 5 3 4 Building 6 Answer these questions: 1) How should the buildings be connected to minimize the total length of the cable? 2) Determine the length of cable required for the connection. 19. This is an ESSAY question. You NEED to type in your answers in the space provided for this problem. **** The table below shows the following information: • Costs of shipping between warehouses and stores • Supply in each warehouse • Demand at each store • STORE WAREHOUSE Torrance Ibiza Frendelton Scynthe SUPPLY Smithville 8 6 12 9 100 Eastwood 5 5 10 8 100 Burlington 3 2 9 10 100 DEMAND 150 60 45 45 Instructions: 1) Determine the optimal solution and write out your complete answers. Write out your complete optimal solution. 2) Explain the type of transportation problem this is. 3) After solving for the optimum solution, what strategies would you recommend to the company?
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Explanation & Answer

Hey there , please find attached solution

Question 2

1. This is a balanced problem

2. This is a minimization problem
3. This is a balanced problem because the total capacity (200 + 225 + 275) is equal to
the
demand (700 guests). It is a minimization problem because the objective of the new
setup is
to deliver food to guests at the highest temperature possible and so the distribution
time
has to be minimal.

Question 3

The capacity of stations 10J and 6G is 425 meals ie 200 + 225

Question 4

The optimal solution is 4 825 / 60 hours = 80 hours (rounded to nearest hour

Please refer to attached spreadsheet, the objective is to minimize the distribution time.

Question 5

D will get meals from Stations 6G and 2L, 145 and 65 meals from each station respectively

Please refer to attached spreadsheet

Question 6

This is a minimal spanning problem : True

Question 7

There are 16 branches in the network listed as below

12 13 15 24 34 35 45 410

57 56 67 610 78

79 89 910

Question 8

Time taken to drive through 2-4-8 is the summation of time taken from 2 to 4 and from 4 to 8

5 minutes + 10 minutes

Time taken

=

=

15 minutes

0.25 hours

Question 9

Arc 6-10 takes the longest to travel (40 minutes)

Question 10

The optimal solution is 60 minutes following the path below :

1 - 2 - 4 - 8 - 9 - 10 . This is deduced by Dijkstra Algorithm which will determine
The shortest distance between given points , starting from a source point

Question 11

ASSIGNMENT PROBLEMS
Programs
Business Education Surveys Beautification
Group 1 32

35

15

27

Group 2 38

40

18

35

Group 3 41

42

25

38

Group 4 45...


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