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redorang120
Feb 4, 2007, 07:40 PM
What type of information are you given in a two-variable linear programming problem, and what are you trying to do?
AND
In as general terms as possible, what do you do to solve a linear programming problem in two variables?

thanks!

Fianchetto
Feb 5, 2007, 03:40 AM
What type of information are you given in a two-variable linear programming problem, and what are you trying to do?
AND
In as general terms as possible, what do you do to solve a linear programming problem in two variables?

thanks!

I. Given enough info to derive the equation:

y = mx + b

AND

II. "Solutions", in math, are where the function crosses the x-axis, or, in other words, wherever:

y = 0

or:

x = -\frac bm

In linear equations there will either be one or infinity number of "zeroes" or "solutions". I'll let you chew on the infinity part, but will answer a question if you ask. ;)

Hope this helps!

Fianchetto
Feb 6, 2007, 07:15 PM
In linear equations there will either be one or infinity number of "zeroes" or "solutions". I'll let you chew on the infinity part, but will answer a question if you ask.

another case exists - no "solutions" at all

to graph the equation:

1: let x=0. this is the y-intercept. Plot it.

2: let y=0 this is the x-intercept. Plot it.

3: connect the dots.

:)

an alternate method for solving 2- and 3-variable systems of equations is to apply cramer's rule. See http://library.thinkquest.org/10030/10cramer.htm

:D