Math proyect 080

Linear programming purpose statement

Linear Programming applied to the civil engineering is used to graph a solution to a system of linear inequalities in two variables, for example it is commonto find linear programming in the number of houses to build, by the time, or also we can apply this in the schedule of a building, by the time that it takes to build this edifice, and others. Thespecial 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

Define Variables

X= Desktop computers

Y= Laptop Computer

Objective Function

P= 275x + 240 yConstraints

5x + 3y < 120

250x +200y < 7000

x > 0

y > 0

Conclusion

We can conclude that linear programming is the process of taking various linear inequalities relating tosome situation, and finding the "best" value obtainable under those conditions. Appling this to my career will 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 + 0P= 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= 9800Conclusion statement for problem #1

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

list vertices

(0,0) (0,35) (-) (24,0)

P= 275x + 240y

Vertice (0,0) Minimum

P= 275x + 240y

P= 275(0) + 240(0)

P= 0 +...