Operations Research Answers

) Consider the transportation schedule below

Factories

Warehouses

A

B

C

Warehouse requirement

1

50

40

80

400

2

80

70

40

400

3

60

70

60

500

4

60

60

60

400

5

30

50

40

800

Factory supply capacity

800

600

1100

Find the initial feasible solution using the Vogel’s approximation method (10 marks)

Solve the following 2 × 5 game by graphical

method

Player B

1 –5 5 0 –1 8

Player A

2 8 –4 –1 6 –5

A recreational motor manufactures golf carts and snow mobiles at its three plants.

Plant A produces 40 golf carts and 35 snow mobiles daily. Plant B produces 65 golf carts

daily but no snow mobiles and plant C produces 53 snow mobiles daily but no golf carts.

The cost of operating plants A, B and C are respectively Birr 12.6 million, 11.4 million

and 10.92 million per day. How many days (including Sundays and holidays) should each

plant operate during September to fulfill a production schedule of 1500 golf carts and

1100 snow mobiles at minimum cost? Assume that labour contracts require that once a

plant is opened, workers must be paid for entire day.

Solve the following LP problems using the graphical method.

Max.Z=15X1-10X2

St:

4X1+6X2 < 360

3X1+0X2< 180

0X1+5X2< 280

X1, X2 > 0

A student must select eight elective courses from four different departments, with at least one

course from each department. The course offered by each department are intended to maximize

the “knowledge” in a particular discipline. Departments measure knowledge on a 100-point scale

depending on the number of courses taken by the student, as shown in the following chart:

The management of the Executive Furniture Corporation decided to expand the production capacity at its Des Moines factory and to cut back production at its other factories. It also recognizes a shifting market for its desks and revises the requirements at its three warehouses. (a) use the northwest corner rule to establish an initial feasible shipping schedule and calculate its cost. (b) use the MODI method to test whether an improved solution is possible.