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# PPT: Linear Programming Mechanical Engineering Notes | EduRev

## Mechanical Engineering : PPT: Linear Programming Mechanical Engineering Notes | EduRev

``` Page 1

1
Linear and Integer
Programming Models
Chapter 2
Page 2

1
Linear and Integer
Programming Models
Chapter 2
2
• A Linear Programming model seeks to maximize or
minimize a linear function, subject to a set of linear
constraints.
• The linear model consists of the following
components:
– A set of decision variables.
– An objective function.
– A set of constraints.
2.1   Introduction to Linear Programming
Page 3

1
Linear and Integer
Programming Models
Chapter 2
2
• A Linear Programming model seeks to maximize or
minimize a linear function, subject to a set of linear
constraints.
• The linear model consists of the following
components:
– A set of decision variables.
– An objective function.
– A set of constraints.
2.1   Introduction to Linear Programming
3
Introduction to Linear Programming
• The Importance of Linear Programming
– Many real world problems lend themselves to linear
programming modeling.
– Many real world problems can be approximated by linear models.
– There are well-known successful applications in:
• Manufacturing
• Marketing
• Finance (investment)
• Agriculture
Page 4

1
Linear and Integer
Programming Models
Chapter 2
2
• A Linear Programming model seeks to maximize or
minimize a linear function, subject to a set of linear
constraints.
• The linear model consists of the following
components:
– A set of decision variables.
– An objective function.
– A set of constraints.
2.1   Introduction to Linear Programming
3
Introduction to Linear Programming
• The Importance of Linear Programming
– Many real world problems lend themselves to linear
programming modeling.
– Many real world problems can be approximated by linear models.
– There are well-known successful applications in:
• Manufacturing
• Marketing
• Finance (investment)
• Agriculture
4
• The Importance of Linear Programming
– There are efficient solution techniques that solve linear
programming models.
– The output generated from linear programming packages
provides useful “what if” analysis.
Introduction to Linear Programming
Page 5

1
Linear and Integer
Programming Models
Chapter 2
2
• A Linear Programming model seeks to maximize or
minimize a linear function, subject to a set of linear
constraints.
• The linear model consists of the following
components:
– A set of decision variables.
– An objective function.
– A set of constraints.
2.1   Introduction to Linear Programming
3
Introduction to Linear Programming
• The Importance of Linear Programming
– Many real world problems lend themselves to linear
programming modeling.
– Many real world problems can be approximated by linear models.
– There are well-known successful applications in:
• Manufacturing
• Marketing
• Finance (investment)
• Agriculture
4
• The Importance of Linear Programming
– There are efficient solution techniques that solve linear
programming models.
– The output generated from linear programming packages
provides useful “what if” analysis.
Introduction to Linear Programming
5
Introduction to Linear Programming
• Assumptions of the linear programming model
– The parameter values are known with certainty.
– The objective function and constraints exhibit
constant returns to scale.
– There are no interactions between the decision
– The Continuity assumption: Variables can take on
any value within a given feasible range.
```
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## Manufacturing and Industrial Engineering

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