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This question has multiple parts. Work all the parts t0 get the most pointsEach of the following produces basIc solunon whcn dissokcd in Walcr For those that brhat...

Question

This question has multiple parts. Work all the parts t0 get the most pointsEach of the following produces basIc solunon whcn dissokcd in Walcr For those that brhate 25 Anthcnius bases , Witc thcLiOH(Use the lowest possible cocflicients Be sufc t0 specify states such a5 (4q) or (s) Ifabox Is BOt nccded, lcate blankCE;NH;(Use the lowest possible cocfficicnts Be surc t0 spccify statcs such 2s (ag) o (s) Ifabox is not nceded, leave it blank )KNH;(Usc thc lowest possiblc cocflicicnts Bc suc specify

This question has multiple parts. Work all the parts t0 get the most points Each of the following produces basIc solunon whcn dissokcd in Walcr For those that brhate 25 Anthcnius bases , Witc thc LiOH (Use the lowest possible cocflicients Be sufc t0 specify states such a5 (4q) or (s) Ifabox Is BOt nccded, lcate blank CE;NH; (Use the lowest possible cocfficicnts Be surc t0 spccify statcs such 2s (ag) o (s) Ifabox is not nceded, leave it blank ) KNH; (Usc thc lowest possiblc cocflicicnts Bc suc specify statcs uch 25 (aq) 0 (5) Ifa box Rol ncededIcave blank ) Mg(OH) , (Use the lowest possiblc cocflicients Be surc t0 specify suic such a5 (ag) or (=) Ffa box ncedcd leate bluk Subinil Answict ry Anollct Vetsion Hen



Answers

Find the indicated maximum and minimume values by the linear programming method of this section. For Exercises $5-16,$ the constraints are shown below the objective function. Graphing the constraints of a linear programming problem shows the consecutive vertices of the region of feasible points to be $(0,0),(12,0),(10,7),(0,5),$ and $(0,0) .$ What are the maximum and minimum values of the objective function $F=2 x+5 y$ in this region?

In problem for the constraints of millennial programming problem Has the physical points of one and 3. Eight and zero, nine and seven. Five and eight. Zero and six. And finally the same 0.1 and three. Again, we want to get the maximum and minimum values of the objective function F equals two X plus five boy in this region. To do so we substitute by each point. In the physical region. We substitute only by the physical points and F here and get the maximum and minimum values. Let's try the first point. We have to buy buy one plus five, multiplied by three. If 17 the second point is two, multiplied by eight plus zero gives 16. Third point is two, multiplied by nine Plus five months. Applied by seven gives 53. Third point gives two, multiplied by five Plus five, multiplied by it gives 50. And the last point gibbs five to multiply by six plus zero gives 30. We can find the minimum value is here. If minimum equals 16 and the maximum value is here then if maximum equals 53. And this is the final answer of our problem.

So this problem. It asked us to find some points or several points of X and Y values inside or on the shaded regions of the previous craft that we did for problem for you. And it also asked to include the corner points, which are the points that either maximize or minimize the total cost. So we know from my previous problem. We know the shaded region, so just scrap it quickly. X is 100 excess 200. Why is 3000 and these were the boundary lights was on until vertical here at 100 and a vertical here at 200. We know the shaded region was right here, so a couple of points they are either in the shaded region or on the lines. The corner points are X is 100. Why is 3000 access to 100? Why is 3000 that's going between X is 1 50 Why could be 3000? That's still one more X is 1 50 And since these two boundary lines are going burgo into infinity, we could say anything above 3000. So let's say 4000. So these are four different X and Y values that we could use. There's endless of other options

The problem is we want to find the minimum C. For this objective function. Knowing that we have the constraints X is greater than equal zero. Why is greater than equal zero? And finally three x last five. White Is greater than equals 30. The first step is to draw these constraints to get the festival points I have here, the X axis here. So access the first constraint iso access, you won't the area to the right of the access to get busted values of X. The second constraint is the X axis. We won't this area the area above the X axis to get buster values of boy. And for the third constraint we draw the line three X plus five. Boy equals 30. When y equals zero we have X equals 10 from one 10 7, 8, 9, 10. Then we have a point here. And when X equals zero, we have boy equal six. Then this is the third. The third constraint. Fine. Then we test the origin. We substitute by X and Y equals zero. We can see that zero is not greater than equal 30. This means 13. The zero and 0. The origin doesn't certified inequality which means we have this area the area above the inclined like then the visible points Is the zero and 6. And Then and zero here because we have this area into infinity it was us. We just need the minimum value. Then we substitute by these two points in the objective function. This one to get the minimum seat X. Y. C. The first point is zero and 6. Then C equals 20, multiplied by six is 120. Second point is 10 and zero. The service you buy x equals 10. Then it's 100 In the minimum value is 100. Didn't see minimum Equals 100. Which is the final answer of our problem.

This is a simple question asking us to explain what least squares means. And we use these data points as a specific example. So we're given full points on and let's say we've got ah 100. If he had is gonna be very rough. Sketch 50 100. So our points, but 10. 10. But you're gonna be somewhere here 2050 which is somewhere here, 40 20 which is somewhere about on 50 80. No, we're given our least squares ein of why it was seven point a plus one point born next. Now seven is going to be around here, and we're looking at a 1 to 1 line almost 1 to 1. Let's who are looking for something like this. All it means by least squares is it. The distance from these points to the line is minimized, and that is exactly what Lee Squares means


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