Friday

September 19, 2014

September 19, 2014

Posted by **LIZ** on Saturday, January 29, 2011 at 12:26am.

x + 5y ≥ 6

5x + y ≥ 6

x ≥ 0, y ≥ 0.

- math -
**Damon**, Saturday, January 29, 2011 at 9:32amgraph the two lines

x + 5y ≥ 6 (intercepts at (0,6/5)(6,0))

5x + y ≥ 6 (intercepts at ((6/5,0)(0,6)

x ≥ 0, y ≥ 0.

find intersection

5 x + 25 y = 30

5 x + y = 6

------------------

24 y = 24

y = 1

x = 6-5 = 1

so at (1,1)

evaluate c = x+y at three points

(0,6) (1,1) (6,0)

minimum is obviously 2 at (1,1)

- linear programming -
**Damon**, Saturday, January 29, 2011 at 9:33amThere is a name for that - "linear programming"

- math -
**MathMate**, Saturday, January 29, 2011 at 9:41amIt is similar to the previous problems. You could plot them on a graph, find the intersection(s) and evaluate the objective function Z=x+y.

The lines to plot are:

for x+5y≥6, put the inequality in the standard form: y≥(6-x)/5.

Similarly, for 5x+y≥6, plot it as y≥(6-5x).

There are lines x≥0 and y≥0, which come into play whne x≥6 or y≥6.

Plot the graph and find all possible intersections (there are three). The feasibility region is an open region in the first quadrant (towards the top-right).

Now evaluate the objective function Z=x+y at all three intersections and find the point that gives the*smallest*value of Z.

See:

http://img9.imageshack.us/img9/7284/1296278783.png

**Answer this Question**

**Related Questions**

Math - Solve the linear programming problem by the method of corners. Minimize C...

7th grade math help Ms. Sue - 3. Which of the following equations has an ...

HELPPP - Solve the linear programming problem by the method of corners. Minimize...

Mathforme - 5. 4x + 2 = x + 8. (1 point) x = 4 x = 3 x = 2 x = 1 Solve the ...

kbMath - 5. 4x + 2 = x + 8. (1 point) x = 4 x = 3 x = 2 x = 1 Solve the ...

7th grade math Ms. Sue please - 1. m – 7 < 6 (1 point) m < –1 m > 1 m &...

linear programming - Minimize z = 3x + 6y subject to: 4x + y ≥ 20 x + y...

algebra 1 - the french club is sponsering a bake sale. they spent $77 in ...

7th grade math Ms. Sue please - 1. 5h – 9 = –16 + 6h (1 point) 4 –7 7 10 2. 4x...

ALGEBRA - 2nd posting - my mistake When will the dependent variable in the ...