Question

PLEASEEE HELP!!!!!! Write the constraints for this scenario.
(LOOK AT COMMENT)

Answer 1

Use the scenario below to answer the questions that follow.
The Country Porch decided to create their own blend of coffee called Country Blend from a mix of Kona and Columbian beans but they want to minimize their blend cost.
The blend will use between 5 pounds and 30 pounds of Kona beans.
The blend will use between 7 pounds and 25 pounds of Columbian beans.
They will make no more than 40 pounds of Country Blend each week.
The Kona beans cost $4.00 per pound.
The Columbian beans cost $3.50 per pound.
Let x represent the pounds of Kona beans and y represent the pounds of Columbian beans used in the Country blend.

Answer 2

I'm sorry I don't really see a question that needs to be answered. Are you trying to make a graph?

Answer 3

nooo.. I have to Write the constraints for this scenario.

Answer 4

do you know how to do this

Answer 5

So for the first part
The Kona beans is X and it has to be greater than 5 and less than 30
And the Columbian beans are Y and it has to be greater than 7 and less than 25
Do you know how you would write those two equations?

Answer 6

no i dont

Answer 7

Well you need to know the signs
"x < 5" means that x is less than 5 also
"x > 5" means that x is greater than 5.

And you also have to know that you can use two inequality (greater than or less than) can be used on one vairable (x or y). This is written as
? < x < ? With question marks being numbers.

Answer 8

okay i get that. I got number 1 right, and this was the question are we going to need this do my question ? Write the objective function to minimize the cost of the blend.

Answer 9

do you know how to do this or what

Answer 10

wanna see an example ??

Answer 11

I think I know how but an example would help :)

Answer 12

Christian is raising money for charity by raking leaves and mowing lawns for his neighbors. He asks for donations of $7 for raking leaves and $5 for mowing lawns. Each week he mows and rakes no more than 15 lawns. Christian will mow at least 1 lawn and rake between 1 and 6 lawns. How can Christian maximize his weekly earnings for charity?

Answer 13

Recall the constraints are the limitations.
Each week he mows and rakes no more than 15 lawns.
m + r ≤ 15
Christian will mow at least 1 lawn.
m ≥ 1
He usually rakes between 1 and 6 lawns.
1 ≤ r ≤ 6

Answer 14

r ≤ 6
m + r ≤ 15
m ≥ 1
r ≥ 1

Answer 15

those are the constraints for that problem

Answer 16

does this help ? @Arfney

Answer 17

Sorry I got a drink, I'm focusing now though. And yes it does help.

Answer 18

sure..

Answer 19

So you have K + C ≥ 40
and 5 ≤ K ≤ 30
and 7 ≤ C ≤ 25
Correct?

Answer 20

yes.

Answer 21

Then for the price you have
5 * 4 ≤ K * 4 ≤ 30 * 4 and
7 * 3.5 ≤ C * 3.5 ≤ 25 * 3.5

Answer 22

well for the example they didnt include the price in it

Answer 23

so we dont have to

Answer 24

But doesn't it say that we need to write an equation that tells what the minimum price of the blend is?

Answer 25

no? what are you talking about. we only neeed the constraints I already have the objective function to minimize the cost of the blend.

Answer 26

Well then these are the constraints of how many pounds you can make in the blend.
K + C ≥ 40
and 5 ≤ K ≤ 30
and 7 ≤ C ≤ 25

Answer 27

are you sure thats right ?

Answer 28

K + C ≤ 40
and 5 ≤ K ≤ 30
and 7 ≤ C ≤ 25
Sorry C + K should be less than or equal to 40 but yes I am sure that's right now.

Answer 29

ok ! thanks.. do you know how to find the vertices ?

Answer 30

If you tell me objective function you have I can try.

Answer 31

f(k,c)=4.00k-3.50c

Answer 32

Don't only polynomials of the 2nd degree have vertices?

Answer 33

i have no idea

Answer 34

You can find the vertices for this problem

Answer 35

Well then i'm sorry i don't really know how. Do you have a "vertices finding formula"?

Answer 36

no and its ok

Answer 37

By vertices do you mean the smallest and highest numbers you can possibly get?

Answer 38

yes, i think so but i figured it out i think!!

Answer 39

we were supposed to use x and y not k and c lol

Answer 40

Haha ohh okay :D well good for you!

Answer 41

fan me !!!