Question (1): Based on what you have studied about Transportation models, answer the following problem: (10 marks) The Hard rock concrete company has enterprises in three locations and is currently working on three major construction sites, each located at a different site. The shipping cost per truckload of concrete, daily plant capacities, and daily project requirements are provided in the table below. Formulate as a linear program. (4 marks) Use the Northwest corner method to determine the least-cost way to meet the requirements. (6 marks) To Site A site B site C Capacity Enterprise 1 $10 $4 $11 70 Enterprise 2 $ 12 $5 $8 50 Enterprise 3 $9 $7 $6 30 Requirements 40 50 60 Question 2: Answer the following questions: (10 marks) Part1. Put the suitable term between brackets (2 marks) Assigning staff to a fast food restaurant is an example of ( ____________________). A large city is planning for the Olympic Games. The transportation system is being evaluated to determine what expansion is needed to handle a large number of visitors to the games. Which of the following models would most help the city planners to determine the capacity of the current system? (___________________________) Part2. Develop your own set of constraint equations and inequalities and use them to illustrate graphically each of the following conditions: Unbounded problem An unfeasible problem
Question (1): Based on what you have studied about Transportation models, answer the following problem: (10 marks)
The Hard rock concrete company has enterprises in three locations and is currently working on three major construction sites, each located at a different site. The shipping cost per truckload of concrete, daily plant capacities, and daily project requirements are provided in the table below.
- Formulate as a linear program. (4 marks)
- Use the Northwest corner method to determine the least-cost way to meet the requirements.
(6 marks)
To |
Site A |
site B |
site C |
Capacity |
Enterprise 1 |
$10 |
$4 |
$11 |
70 |
Enterprise 2 |
$ 12 |
$5 |
$8 |
50 |
Enterprise 3 |
$9 |
$7 |
$6 |
30 |
Requirements |
40 |
50 |
60 |
|
Question 2: Answer the following questions: (10 marks)
Part1. Put the suitable term between brackets (2 marks)
- Assigning staff to a fast food restaurant is an example of ( ____________________).
- A large city is planning for the Olympic Games. The transportation system is being evaluated to determine what expansion is needed to handle a large number of visitors to the games. Which of the following models would most help the city planners to determine the capacity of the current system? (___________________________)
Part2. Develop your own set of constraint equations and inequalities and use them to illustrate graphically each of the following conditions:
- Unbounded problem
- An unfeasible problem
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