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The graphs show regions of feasible solutions. Find the maximum and minimum valute of each objective function: See Examples 4 and 5....

Question

The graphs show regions of feasible solutions. Find the maximum and minimum valute of each objective function: See Examples 4 and 5.

The graphs show regions of feasible solutions. Find the maximum and minimum valute of each objective function: See Examples 4 and 5.



Answers

The graphs show regions of feasible solutions. Find the maximum and minimum values of each objective function. (GRAPHS CAN'T COPY) $$3 x+5 y$$

According to the ocean we have given value is f off is it? Couldn't do five x plus fight by We have the object function and the vortices is a one coma. Zero be one go Martin See seven coma six and the is seven coma nine. We can say that the objective function in each were tax beauties half off a musical do five into one plus five into zero is equal to five and f o. B is equal toe five into one plus five into 10 is equal. Do 55 have coffee during recall. Toe fight into seven plus five into six is equal to 65 f both be deary's five into seven plus five into nine is equal. Do it and then we find out the maximum value off the object function. Ease maximum music. Orderto maximum value comes out from fire. You 55 65 it be getting maximum value. Is it be and f minimum? The minimum value is from 5 55 65 it be the minimum value is five. We can say that meaning mom that you fire in comes out one coma veto point and maximum value it be in comes out seven coma nine point

Okay, So the first optimization equation that we're gonna work with is X plus for why? And we can see that the points of intersection, which will give us our maximum or minimum values, will occur to eight, 46 14 and 41 And we don't We don't need these in any particular order, but we are gonna test all of them. So in part a, let's find the maximum and minimum is by plugging in those values. So first, we're gonna start with our first point, and we're gonna substitute to infer acts and a in for Why? Which is gonna give us two plus 32 which is 34. So, to a give us an output value of 34 testing 46 we're gonna get four plus four times six, which is four plus 24 which is 28. We're gonna test one and four, which is one plus 16 which is 17 and finally will test for and one which gives us four plus four, which is eight. So that tells us that the maximum value will occur with at 34 the minimum value will occur at eight. So we're gonna write that the max value will occur at the 80.28 and we'll have an output value of 34 whereas my minimum value will occur at 41 For the second part of this problem, we're gonna test the optimization equation of five X plus two wide testing the same points. So Z equals five times two plus two times eight, which is 10 plus 16 which is 26. We're gonna have five times four plus four time flip side, five times for plus two times six, which is 20 plus 12 which is 32. We're gonna test one and four, which is five, and AIDS, which is 13. And finally we're gonna test four and one, which is 20 plus two, which is 22. So the largest value here is 32. The smallest value is 13 which means that the maximum will occur at the 130.46 with an output value of 32 and the minimum value will occur at 41 with an output Vet. I'm sorry. Will occur at the minimum value will occur at 14 with an output value of 13. So here is my maximum minimum for part two. Here's my maxim minimum for part

According to the ocean we have given values have physical do three x plus fire away. We have the objective function and the work is is theories. It is one comma. Zero b is one go Martin See is seven Goldman six. The is cell in Goma. Nine. We can say that the value off the object function in each were text theories half off a ethical do three in tow one plus five into zero. There is a cool dude three and F B is equal to three in tow. One plus five into 10 days 53 half off. See Gary's three into seven plus five into six is equal to 51 f off D is three into seven plus five into nine is equal to 66. The maximum value off the object function is F maximum from the maximum. The values is three 53 51 66. The maximum value is 66 and the minimum value there is minimum value come from the points. 3 53 51 66 The minimum value is 30 began set minimum value comes from dairies. Three in the point is ban coma zero and duh maximum value. He's 66. Deary's in seven. Coma. Nine

In this problem. Well defined the maximum and given from the given figure. And in the given bigger we have this as my ex is this we have xx is this line here is one. And then this market is 79 This find here is 76 and on a one and zero And, uh, even objective function is five express pipeline The maximum and minimum value for everybody points on why? I think I want the spy Ty Ziegel. You're by one and then we get by by dive one. Despite I tend if I for seven and nine to get five by 75 defined nine. They got it. Be what? 71 big last 5.56 Because 65 So pipe is a minimum value and it is the human. There is a solution.


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