Okay, So for this one, we're talking about a furniture factory that is going to produce be producing, um, chairs, cabinets and buffets. So we're going to say X's chairs. Why is buffets was very wise. Cabinets and Z is gonna be buffets on, although you can choose any three letters you want. Um, so we know that as far as like we have cutting, assembling and finishing. So it's gonna be 0.2 per chair for cutting 0.5 for buffets, points 3.5 for cabinets, 0.3 for buffets for total of 1900 50 hours. We know for assembly, it's gonna be 0.3 x plus point for why plus 0.1 z equals 14 4090. And then last but not least, this the finishing is 0.1 x plus 0.6. Why plus 0.4 z equals 2000, 160. So what we want to do is creator matrix off of this. But I'm gonna go ahead, multiply everything by 10 so I'm gonna have to five three in 19,500 three, four one and 14,900 and then 16 and four and tooth out. 21,600 for the So what? We have whole numbers instead of decimals. So the very first thing that I really want to dio has start creating this pivot pattern. So that way I have a number and then two zeros below it. So in order to do that, I'm gonna have to multiply the top by three. So I'm gonna have six, 15 nine and then 58,500 that I'm gonna I'm gonna multiply the second one by two. So it's going to be six eight to and in 29,800. Okay, so I'm gonna keep this as a to five. Three and in 19,500 for now. So then my first, that's going to be zero and then 15 minus eight s seven nine minus two is seven and then 58 500 minus minus 29 800. There's gonna be 28,700 now. Luckily, I can provide risk by seven to get 4100 and I can eliminate thes by seven to get one each. Okay, so then the next thing I need to dio is I need Teoh. Figure out what I need. Teoh at some knucklehead, multiply this bottom row by twos. That way I can eliminate it from the original top row. So to 12. Eight and 43,200 so to minus two is zero five. So 12 minus five will be seven eight minus three would be five. And then, of course, 43 1002 100 minus 19,500 is 23 700. So I have pivoted the first one. Now I am ready to pivot the second row. So what I want to do first is I want to multiply this by five. Then that's gonna be 20,500. So for now, I'm gonna leave the second row, as is, because it's about a simple fight. Is I'm going to get for this ground. So then I'm gonna have my to five minus 50 five minus three is two. And then I have 1000 left over. So now what I also notice I can do is I can divide by two now and just to make the math a little bit easier. Lips, That's what I'm going to dio. Okay, So now what I want to do is I'm gonna eliminate what? I just did this for us changing the the Matrix before it. And now I want to multiply this by seven. And this is gonna get me 28,700. So that way I can eliminate, so it's gonna be zero 07 minus five is, too. And then, of course, now I've got 5000, which I can eliminate this down by two to give me one and 2500, and then I have one final call him to pivot. So what I want to do is I want to go and just flat out subtract thes someone. I have 1001 And then, of course, 001 So I'm gonna do the first in the 3rd 1st. So this is obviously going to create zero, and then this is going to be 2000, cause it's 2500 minus 500 and then I'm going to go ahead and pivot the 1st and 2nd, so this is going to be zero, and the 4100 minus 2500 is going to be 1600. So now I have got everything down. Toe one and I have pivoted all three columns. So what this tells me is that there's gonna be 2000 chairs, 1600 buffets and 2500. I'm sorry. Um, 1600 cabinets and 2500 buffets.