Math proyect 080

Linear Programming Project

Diego Camilo Conde

Mathematics 080-4107

Jeffrey Humprey

Linear programming purpose statement

Linear Programming applied to the civil engineering is used tograph a solution to a system of linear inequalities in two variables, for example it is common to find linear programming in the number of houses to build, by the time, or also we can apply this inthe schedule of a building, by the time that it takes to build this edifice, and others. The special characteristic that linear programming expects always to maximize or minimize some quantity.Problem #1

Define Variables

X=Standard Model

Y= Deluxe Model

Objective Function

P= 350x + 400y

Constraints

12x + 18y < 360

x +y < 25

x > 0

y > 0

Problem #2

DefineVariables

X= Desktop computers

Y= Laptop Computer

Objective Function

P= 275x + 240 y

Constraints

5x + 3y < 120

250x +200y < 7000

x > 0

y > 0

Conclusion

We canconclude that linear programming is the process of taking various linear inequalities relating to some situation, and finding the "best" value obtainable under those conditions. Appling this to my careerwill help me to develop a optimal solution of resource allocation problems.

list vertices

(0,0) (0,8) (12,12) (28,0)

P= 350x + 400y

Vertice (0,0) Minimum

P= 350x + 400y

P= 350(0) +400(0)

P= 0 + 0

P= 0

Vertice (0,8)

P= 350x + 400y

P= 350(0) + 400(8)

P= 0 + 0

P= 3200

Vertice (12,12) Maximum

P= 350x + 400y

P= 350(12) + 400(12)

P= 4200 + 4800

P=9000

Vertice (28,0)

P= 350x + 400y

P= 350(28) + 400(0)

P= 9800 + 0

P= 9800

Conclusion statement for problem #1

Based in the information that is below of this page, we canconclude that the manufacturer has to make 12 standard TV flat screen 32-in model, and 12 deluxe standard TV flat screen 32-in model to get the maximum profit.

list vertices

(0,0) (0,35) (-)...