12. Linear Programming

Exercise 12.1

Solve the following Linear Programming Problem graphically :

1. Maximise   Subject to the constraints :  .

Solution:

2. Minimise  Subject to the constraints :  .

Solution:

3. Miximise  Subject to the constraints :  .

Solution:

4. Minimise  Subject to the constraints :  .

Solution:

5. Miximise  Subject to the constraints :  .

Solution:

6.  Minimise  Subject to the constraints :  .

Show that the minimum of Z occurs at more than two points .

Solution:

7. Minimise and Maximise  subject to the constraints : ,  .

Solution:

8. Minimise and Maximise   subject to the constraints :  ,  ,  .

Solution:

9. Maximise  subject to the constraints : , ,  .

Solution:

10. Maximise  subject to the constraints :  ,, .

Solution: