Part I. PROBLEM SOLVING (10 marks)

Direction: In each of the items below, provide the details/data required

A concrete company transports concrete from three plants 1, 2, and 3, to three constructions sites A, B, C and D with the following details;

Cost From / To

A

B

C

D

Total Supply

1

19

30

50

10

7

2

70

30

40

60

9

3

45

8

70

20

18

Total Demand

5

8

7

14

34

Requirements;

a.Compute for the total transportation cost of the initial solution using least cost cell method.

(3 marks correct solution + 2 marks correct answer = 5 marks)

b.Obtain the improved solution's total cost of transportation using Stepping-Stone Method.

(3 marks correct solution + 2 marks correct answer = 5 marks)

Part 2. CASE ANALYSIS (15 Marks)

Directions: Please refer to the short case provided to generate the required output.

1.Ahli Construction recently received a contract to recarpet the road connecting Muharaq and Manama. The manager, Mr. Hussam, wanted to make sure that the project will be completed on time. He coordinated with his road construction expert and together identified eight essential activities in this project. He listed the activity with the corresponding estimates for time of completion as shown below;

Activity

Preceding Activity

Times of Completion (in weeks)

Optimistic

Most Likely

Pessimistic

A

-

2

3

4

B

-

5

5.5

9

C

-

6

7

8

D

A

4

8.5

10

E

C

1

3.5

9

F

B,E

1

3

5

G

C

8

9

16

H

F,G

1

3

5

As a manager, Mr. Hussam wanted to make sure that the project will be completed as planned. Certain specifications were also set by the ministry of work to comply and failure to meet such specifications would result to non-payment and eventual exclusion from future project bids. Assume that you are the assistant to the project manager and you are tasked to assist Mr. Hussam in completing the project

Requirements:

a)Provide the activity diagram of the project. (5 marks)

b)Identify the critical path of the project described above (5 marks)

c)Before the start of the project, the manager proposed to the Ministry of Works that the project will be completed within 30 days. Assess and justify if the proposed time of completion is possible. (5 marks)

5 pts

The evaluation/illustrationis done clearly andis supported by correct computation.

4 pts

the evaluation/illustration is correct but lacks minor details and is supported by correct computations

3 pts

the evaluation/illustration is correct but not properly discussed but is supported by computations

2 pts

the evaluation/illustration is poorly discussed andcomputations are not complete

1 pt

Wrong evaluation/illustration/ No computation