Question

Need some help with this Algebra. Someone with a graphing calculator?

Answer 1

Rewrite the constraints in slope-intercept form.
4X + 3Y ≥ 30
x + 3y ≥ 21
x ≥ 0, y ≥ 0
Minimum for C = 5x + 8y

Answer 2

Step-by-step help please...

Answer 3

@mathmale

Answer 4

Anyone?

Answer 5

I'm in the midst of helping someone else, but can spare a minute here.
4X + 3Y ≥ 30 could be re-written temporarily as 4X + 3Y = 30. Subtracting 4x from both sides results in 3y=30-4x, or \[y=\frac{ 30-4x }{ 3}\]
and this result is in slope-intercept form:\[y=\frac{ -4x }{ 3 }+10\]

Answer 6

Now experiment to determine whether to use\[\le or \ge \]

Answer 7

so that your new inequality is equivalent to the original one.

Answer 8

Thank you so much!

Answer 9

My great pleasure, Beth!

Answer 10

Wait I have a question.
4X + 3Y ≥ 30 is only one part of the equation. What about x + 3y ≥ 21 and x ≥ 0, y ≥ 0?

Or does y=−4x/3+10 count for the entire equation constraints?

Also when you tell me to 'experiment' for which inequality symbol to use, do you mean something like: y=−4x/3≤10

Answer 11

@mathmale

Answer 12

You'll need to do the same operations with the other constraint inequalities. Note that x and y are always zero or greater, placing us in the 1st quadrant.

Answer 13

When I used the word "experiment," I meant you must choose from\[\le , \ge\]

Answer 14

Simple as that.

Answer 15

Have you written the 2nd constraint inequality in slope-intercept form?

Answer 16

So 3y = 21 - x ? Here I subtracted x from both sides. Is that corrects?

Answer 17

Yes, and now divide both sides by 3.
Now graph all four inequalities on one set of axes, staying in Quadrant 1.

do that on paper first; then, if you like, share a copy of your drawing with me via a file attach or through the Draw utility.

Answer 18

So, y = 7 - x?
Sorry I'm very confused right not. What do you mean by four inequalities?

Answer 19

You were given four inequalities up front, in this problem.

Answer 20

Ok I plugged in a value (two) into the first equation and 7 is what I got. I'm still very confused do can you tell me what I'm doing wrong and what I need to do?