ATAR Notes: Forum

Archived Discussion => 2010 => End-of-year exams => Exam Discussion => Victoria => Further Mathematics => Topic started by: briza on November 03, 2010, 02:37:40 pm

Title: Answers for graphs and relations?
Post by: briza on November 03, 2010, 02:37:40 pm
I found graphs and relations quite hard. Can anyone post the answers?
Title: Re: Answers for graphs and relations?
Post by: dennydenny on November 03, 2010, 02:49:45 pm
1. a) R=65x
b_ %1700
d) 20

2. m=40

3. b) k=45
d) $9400
f) 175x + 50y
g) $21500 (wrong)

tell me if any of the other ones are wrong
Title: Re: Answers for graphs and relations?
Post by: briza on November 03, 2010, 02:52:11 pm
wat abt last question?
Title: Re: Answers for graphs and relations?
Post by: dennydenny on November 03, 2010, 02:53:06 pm
isn the maximum profit thing the last question?
Title: Re: Answers for graphs and relations?
Post by: briza on November 03, 2010, 02:55:34 pm
wasnt q4 like the 3x+y less than 150 ? where there are 3 types
Title: Re: Answers for graphs and relations?
Post by: lingaz on November 03, 2010, 02:56:17 pm
I got 9075 for the last question.... not too sure if that was right ...
Title: Re: Answers for graphs and relations?
Post by: Pumpkinator on November 03, 2010, 02:56:27 pm
the max profit was like 8300 or around there for last question
Title: Re: Answers for graphs and relations?
Post by: physics on November 03, 2010, 02:56:48 pm
$8035 or something for last answer =D
Title: Re: Answers for graphs and relations?
Post by: slee on November 03, 2010, 02:57:29 pm
you were supposed to do
Revenue= (65+65+55=185)x + 50 y ??
I cant remeber the costs for each pillows...
Title: Re: Answers for graphs and relations?
Post by: Pumpkinator on November 03, 2010, 02:58:03 pm
8375 at point (35,45) is what i got
Title: Re: Answers for graphs and relations?
Post by: 10weid on November 03, 2010, 02:58:55 pm
3.d. $9075 at (105,45)
3.g. $8375 at (35,45)
Title: Re: Answers for graphs and relations?
Post by: Pumpkinator on November 03, 2010, 02:59:11 pm
8375 at point (35,45) is what i got

yeh i got 185x + 50y at first
but then changed it to 175x + 50y
because 55+55+65=175

i think that tripped up some people
Title: Re: Answers for graphs and relations?
Post by: Pumpkinator on November 03, 2010, 03:01:17 pm
anyone get the exam paper?
Title: Re: Answers for graphs and relations?
Post by: briza on November 03, 2010, 03:02:19 pm
yea my revenue equation was R=175x + 50y point was at 35,45 with max rev at 8375
Title: Re: Answers for graphs and relations?
Post by: captain_kirk on November 03, 2010, 03:11:12 pm
oh god i was freaking out for a second going i know i wrote 9075 but that was for d not g... and the relief
Title: Re: Answers for graphs and relations?
Post by: slee on November 03, 2010, 03:11:31 pm
how did ppl answer the 1st question?
explaining how 3x + y >/ 150
Title: Re: Answers for graphs and relations?
Post by: vidang on November 03, 2010, 03:14:38 pm
i got
R=175x + 50y
REVENUE = $8375
Title: Re: Answers for graphs and relations?
Post by: Pumpkinator on November 03, 2010, 03:15:12 pm
like let s=2x  
therefore s + x + y = 150
sub in s= 2x

2x + x + y =150
3x + y = 150
Title: Re: Answers for graphs and relations?
Post by: joocoobpootooloo on November 03, 2010, 03:37:24 pm
the first was 9075, the second was 8375
Title: Re: Answers for graphs and relations?
Post by: scatteam_2 on November 03, 2010, 03:54:13 pm
I found graphs and relations quite hard. Can anyone post the answers?


i found it quite hard as well. the last two questions were impossible!!
Title: Re: Answers for graphs and relations?
Post by: scatteam_2 on November 03, 2010, 03:57:20 pm
how did ppl answer the 1st question?
explaining how 3x + y >/ 150

i totally guessed it and went

2x + x + y > 150
i didnt know how else to do it lol
Title: Re: Answers for graphs and relations?
Post by: jezza2010 on November 03, 2010, 03:57:37 pm


thats right! for the one about getting the eqn! it was for 1 softsleep she sold 2 snoresleep so R=175x+50y because 65*1 + 55*2= 175 :)
Title: Re: Answers for graphs and relations?
Post by: darcy42 on November 03, 2010, 04:06:11 pm
Yeah i didnt know how to do the R function, so i did:
R=55x+65(2x)+50y

Assuming that the selling prices were $55 for sleepsoft (?), $50 for resteasy and 65 for snorestop. I can't remember the selling prices.

Any chance of getting a mark for this? it eventually gets the same profit max..
Title: Re: Answers for graphs and relations?
Post by: scatteam_2 on November 03, 2010, 04:58:38 pm


thats right! for the one about getting the eqn! it was for 1 softsleep she sold 2 snoresleep so R=175x+50y because 65*1 + 55*2= 175 :)


oh yay! im so glad i guessed it right
i guessed the one after it as well
and got R=175x + 50y
yay!!!
Title: Re: Answers for graphs and relations?
Post by: menashiiii on November 03, 2010, 05:09:16 pm
8375 at point (35,45) is what i got

yeh i got 185x + 50y at first
but then changed it to 175x + 50y
because 55+55+65=175

i think that tripped up some people

yeh me >.<
still get consequential marking yeh?
so 58/60 now..
Title: Re: Answers for graphs and relations?
Post by: crayolé on November 03, 2010, 05:23:17 pm
Hmm, I said R=(175/3)x+50y
Cant quite remember why but can someone please confirm that I was wrong?

Also, was the green circle the point for max profit?
Title: Re: Answers for graphs and relations?
Post by: captain_kirk on November 03, 2010, 05:35:40 pm
yeah you're wrong
its just 175 not 175/3
Title: Re: Answers for graphs and relations?
Post by: nonstop9328 on November 03, 2010, 05:49:21 pm
why isn't the answer $21500?
Title: Re: Answers for graphs and relations?
Post by: nonstop9328 on November 03, 2010, 05:49:56 pm
why isn't the answer $21500?
Title: Re: Answers for graphs and relations?
Post by: captain_kirk on November 03, 2010, 05:52:19 pm
which question for 21500?
Title: Re: Answers for graphs and relations?
Post by: nonstop9328 on November 03, 2010, 05:53:34 pm
the very last question i think. it asks to find the maximum revenue?
Title: Re: Answers for graphs and relations?
Post by: captain_kirk on November 03, 2010, 05:56:40 pm
yeah its 8375 as the equation is R=175x + 50y and the point is (35,45)
so sub it in its:
R= 6125 + 2250 = 8375
dont know where you got 21500 from
Title: Re: Answers for graphs and relations?
Post by: nonstop9328 on November 03, 2010, 05:58:07 pm
i thought the point was 104?or somerfing
Title: Re: Answers for graphs and relations?
Post by: captain_kirk on November 03, 2010, 06:01:07 pm
yeah if you used a point like (105,45) which was where the max revenue for part d was you'd get like 20600 or something of that sorts
but you had to change it so that x + y <= 150 to 3x + y <=150 and then when you found the three points of the feasible region (30,45) (30,60) and (35,45) and then when you sub the three of them in you find the maximum as 8375 at (35,45)
Title: Re: Answers for graphs and relations?
Post by: masonnnn on November 03, 2010, 06:06:52 pm
yeah i originally got 21500 then rubbed it out because it was just...not possible. it's because of not accounting for the 3x so when i realized that changed to (35,45)
Title: Re: Answers for graphs and relations?
Post by: crayolé on November 07, 2010, 05:08:23 am
Okay, so I got (175/3)x + 50y for my revenue equation.
Then I went on to find the correct maximum profit for this equation in my next question which was (30,60) not (35,45)

How many consequentials would I get? 1 or 2?