# D1 help

Watch
Announcements
Thread starter 6 years ago
#1
Gin is 45% alcohol by volume and tonic is non-alcoholic. Its required to mix gin and tonics which are at least 10% alcohol by volume and contain atleast 200ml of liquid but at most 30ml of alcohol

a) what are the greatest and least amounts of gin a drink can contain
b) what are the greatest and least amounts of tonic a drink can contain

I understand you would first make the constraints x?30, x+y?10, x+y?200 ,
x?0, y?0,

Secondly do you need to draw a graph?

Any help would be appreciated
0
6 years ago
#2
(Original post by Nina8)
Gin is 45% alcohol by volume and tonic is non-alcoholic. Its required to mix gin and tonics which are at least 10% alcohol by volume and contain atleast 200ml of liquid but at most 30ml of alcohol

a) what are the greatest and least amounts of gin a drink can contain
b) what are the greatest and least amounts of tonic a drink can contain

I understand you would first make the constraints x?30, x+y?10, x+y?200 ,
x?0, y?0,

Secondly do you need to draw a graph?

Any help would be appreciated
A graph would be useful, but if you can do it without, fair enough.

I presume x is the amount of gin and y is the amount of tonic.

What constraints did you end up with? Several of those, as they, stands don't look right.

Since the gin is 45% alcohol by volume, then 100ml of gin gives 45 ml of alcohol.
0
Thread starter 6 years ago
#3
(Original post by ghostwalker)
A graph would be useful, but if you can do it without, fair enough.

I presume x is the amount of gin and y is the amount of tonic.

What constraints did you end up with? Several of those, as they, stands don't look right.

Since the gin is 45% alcohol by volume, then 100ml of gin gives 45 ml of alcohol.

I had x>= 0 , y>=0 , 0.45x+y/x+y >= 0.10 (because it says atleast 10 percent alcohol), x+y >= 200 , and Im so confused how to put in atmost 30ml of alcohol.

Im just going in circles right now
0
6 years ago
#4
(Original post by Nina8)
0.45x+y/x+y >= 0.10 (because it says atleast 10 percent alcohol)
That's not correct - the numerator. You need amount of alcohol over total amount >=0.1
There's no alcohol in tonic.

how to put in atmost 30ml of alcohol.
Amount of alcohol is 0.45x, hence 0.45x <= 30
0
Thread starter 6 years ago
#5
[QUOTE=ghostwalker;46479332]That's not correct - the numerator. You need amount of alcohol over total amount >=0.1
There's no alcohol in tonic.

Amount of alcohol is 0.45x, hence 0.45x <= 30[/QUOTE

I meant (0)y which would make it a 0!! Thankyou so much you're a lifesaver ) How would I work to get the greatest and least amount from there?

(sorry for being such a bother)
0
6 years ago
#6
(Original post by Nina8)
...
Do a graph and plot the feasible region.
0
Thread starter 6 years ago
#7
(Original post by ghostwalker)
Do a graph and plot the feasible region.
And find the intersections right? THANKYOU SO MUCH, you're amazing
0
6 years ago
#8
so what should this have been: 0.45x+y/x+y >= 0.10?
0
6 years ago
#9
(Original post by Welbeck)
so what should this have been: 0.45x+y/x+y >= 0.10?
There's no alcohol in the tonic, so:

0.45x/(x+y) >= 0.10
0
X

new posts
Back
to top
Latest
My Feed

### Oops, nobody has postedin the last few hours.

Why not re-start the conversation?

see more

### See more of what you like onThe Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

### Poll

Join the discussion

#### Have you experienced financial difficulties as a student due to Covid-19?

Yes, I have really struggled financially (62)
17.17%
I have experienced some financial difficulties (102)
28.25%
I haven't experienced any financial difficulties and things have stayed the same (137)
37.95%
I have had better financial opportunities as a result of the pandemic (48)
13.3%
I've had another experience (let us know in the thread!) (12)
3.32%