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January 25, 2015

January 25, 2015

Posted by **Michael** on Monday, November 17, 2008 at 9:20pm.

I need to graph this as a linear inequality and get the necessary equations! I have NO IDEA how to do this, and it's homework that's due tomorrow! PLEASE HELP!

- Algebra II -
**bobpursley**, Monday, November 17, 2008 at 9:32pmI would make the horizontal axis mix A, the vertical axis mix B.

Now you have three lines..

1) Nitrogen line. If you supply all with A, it will be at least 35cubicyards, if all mix B, it will be at least 70. So connect those points on A and B, you know you will be to the right of that line.

2) potash. If you use all mix B, no more than 140cubic yards, if you use all mix A, no more than 840/9 cubic yards. Connect those points. Note you have to be to the left of this line.

3) phosphoric acid. Do the same technique to get this line, you have to be to the right of that line.

Now look at the area enclosed by the lines (left of some, right of others).

There is a very famous theorem that says the minimal cost will be at one of the corners, so test the cost function at each corner (knowing how many yards of A,B) is at that point.

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