Write the generalized from of linear programming problem with matrix notation.
The linear programming involving more than two variables may be expressed as follows:
Maximise or Minimise Z = c1x1 + c2x2 + c3x3 + ---- + cnxn
Subject to the constraints
a11x1 + a12x2 + ---- + a1nxn ≤ or = or ≥ b1
a21x1 + a22x2 + ---- + a2nxn ≤ or = or ≥ b2
----
----
----
am1x1 + am2x2 +
_________ _______ ________ _______ __________.
_________ _____ ___ _____ ________ _________ _________ ____ ______ ___ _____ _____.
_______ _________ _________ ________ ________ _______ _________ __________.
_________ ___ ___ _________ ___ __________ _____.
____ ________ _____ ____ ________ ____ _____ __________ _____ ____ _____.
________ ________ __________ ______ ____.
_______ _____ ________ ____ ________ _________ _________ _______ ________ ________ ____.
____ _______ ___ __________ ___ __________ _____ __________ _______ _____ _________.
__________ ____ ___ ____ ____ _________ ___ __________.
____ _____ __________ ________ _______ _______ ______.
_________ __________ _________ ____ ______ _______ ___ _________ _______.
_______ ____ ________ _______ ____ ______ _________ ____ ______ _____ ____ ___.
_____ ________ ___ ______ ____.
_____ ____ ________ _____ _____.
_____ _____ _______ __________ _______ __________ __________ ___ __________ _____ ___.
______ ____ ____ ________ _____ __________ ____ ___.
______ _________.
- Solved Assignments
- Study Notes
- Guess Papers
- Question Papers
✓ Unlock up to 60% of the answer
✓ No payment required
A B C Analysis
What is the concept of Operations Research ? "Operations Research (OR) is useful only if applied with Information Technology". Comment
Periodic Review System
Solve the following LP problem through SIMPLEX method
Minimize Z = 2x1 + 5x2
Subject to x1 + x2 = 100
x1 ≤ 40
x2 ≥ 30
x1, x2 ≥ 0
Dynamic programming
A company produces two products A and B, each of which requires three types of processing. -The length of time for processing each unit and the profit per unit are given in the following table
| Process sl, | Product A (hr/unit) | Product B (hr/unit) | |
| Process I | 120 | 120 | 8,400 |
| Process II | 30 | 60 | 3,000 |
| Process III | 50 | 40 | 4,800 |
| Profit per unit (Rs) | 50 | 40 |