Tuesday

July 22, 2014

July 22, 2014

Posted by **Meghan** on Monday, February 28, 2011 at 12:09pm.

The maximum value of the function y+x on the resulting region occurs at x=? and y=?

The maximum value of the function is ?

- New Age Math -
**bobpursley**, Monday, February 28, 2011 at 12:35pmPlot the lines on an x,y graph

y=5x and

y=-14/15 x+1/15

x=0, y=0

Now you know any possible x,y will be inside or on the boundries of that region bounded by those four lines.

There is a nice theorem in Linear algebra, that says the maximum (or miniumum) of any objective function will be on the boundry lines,somewhere.

So do this: look at the coordinates where the lines intersect. Test your objective function Obj=x+y and see where it is maximum, you will quickly see out of those four intersections, you will find the maximum.

**Related Questions**

algebra 1 help please - 4) a student score is 83 and 91 on her first two quizzes...

Math - Suppose that y≤5x,3x≤y and 14x+15...

Math - Suppose that y≤3x, 2x≤y and 13x+13...

New Age Math - Consider the region defined by the inequalities: 0≤x 0&#...

Algebra 2 - Solve. 4a-2≤a+1≤3a+4 4a-2-1≤a+1-1≤3a+4-1 4a-...

Math - Consider the region defined by the inequalities: 0≤x 0≤y -21/...

math - Maximize P = 4x + 20y subject to these constraints: 2x + 15y ≤ 700 ...

math - Maximize P = 4x + 20y subject to these constraints: 2x + 15y ≤ 700...

Math - Minimize C=7x+3y+4z 0≤x 0≤y 0≤z 100≤2x+3y+3z 120...

Math - Minimize C=7x+3y+4z 0≤x 0≤y 0≤z 100≤2x+3y+3z 120...