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7/26/2019 Sample Test Answer
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Quantitative Methods Test (Marking Scheme) Page 1 of 8
Answer all questions:
QUESTION 1 (20 Marks)
(a) (i) continuous
(a2)(ii) discrete(a2)
(iii) continuous(a2)
(b) (i)51
15
27181887!"#82#551$7$581#""12$=
++++++++++++++=x
(m2% a1)
(ii) arrange the data in ascending order
18% 18% 2$% 27% #5% #"% $5% $7% 51% "1% "#% 81% 82% 87%
!(a2)
Median is $7(a1)
(iii)& xx ( )
2
xx (')
&2 ()
2$ 27 72 57"$7 $ 1" 22!! # 1521 81!!
"1 1! 1!! #72151 ! ! 2"!187 #" 12" 75"#" 15 225 12"#5 1" 25"
122518 ## 1!8 #2$81 #! !! "5"182 #1 "1 "72$18 ## 1!8 #2$$5 " #"
2!25"# 12 1$$ #"27 2$ 57" 727"5 8#8 $75#
$1!#8!*2$15
8#8==s
(co+umn ' 2 marks% m1% a1 )
,-
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7/26/2019 Sample Test Answer
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Quantitative Methods Test (Marking Scheme) Page 2 of 8
$1!#8!*2$15
7"5
15
$75# 2
=
=s
(co+umn 2 marks% m1% a1)
(iv) range 3 ! 4 18 3 72(a1)
(v)8"*$7)1!!(
51
$1!#8!*2$==CV
(m2% a1)
QUESTION 2 (1 Marks)
(a) 0nde& (6eb) 3#8*115)1!!(
1#15 =
(m1% a1)
0nde& (March) 312!)1!!(
15
18=
(a1)
0nde& ('/ri+) 3"7*11")1!!(
18
21=
(a1)
0nde& (Ma) 3 5*8!)1!!(2117
=(a1)
(b) (i)
Sie2!11 2!12 !!QP nQP! !QPn nnQP
Price Quantit Price Quantitarge !*"! 5!! !*75 "!! #!! #"! #75
$5!
Medium !*55 7!! !*"! 1!!! #85 55! $2! "!!Sma++ !*$! #!! !*$5 5!!
12! 2!! 1#5 225
Tota+ 8!5 111! #! 1275(+ast $ co+umns% 1 mark each)
8*1#7)1!!(8!5
111!)1!!(
!!
! ===
QP
QPLQI
n
(a1)
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7/26/2019 Sample Test Answer
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Quantitative Methods Test (Marking Scheme) Page ! of 8
1!*1#7)1!!(#!
1275)1!!(
!
===
QP
QPPQI
n
nn
(a1)
(ii)Sie 9eighting Po Pn 0nde& -e+ative
arge 25 !*"! !*75 125Medium 15 !*55 !*"! 1!*!!!
Sma++ 1! !*$! !*$5 112*5Tota+ 5!
(+ast co+umn% 2 marks)
9eighted average of re+ative 3 5!)5*112(1!)15(!!!*1!)25(125
++
3 5!
1125#"#"#5*1"#"#125 ++
3 117*7#
(m1% a1)QUESTION ! (2 Marks)
(a) 6: 3 1#!!(1;!*!5&$) 3 15"!(m2% a1)
(b) 6: 3 2!!!(1;5*5)83 2!!!(1*!55)83 #!"*#7(m$% a1)
(c) 6: 3 5!!!
)12(1)2(2)$(2
12121
2121
$81 + + +
3 5!!! (1*171"5) (1*2"2$77) (1*12"825)3 8###*"
(m$% a1)
(d)
)$(18
$
1!1"!!!!
+=P
"!!!! 3 P(1*!25)72
P 3 1!1#*88
(m5% a1)
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7/26/2019 Sample Test Answer
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Quantitative Methods Test (Marking Scheme) Page " of 8
(e)
[ ]i
iP n 1)1(#!!!!!
+=
!!5*!
112
"1
#!!!!
)2!(12
+
=
P
( ) 3 12? ; #?2; >
9hen ? 3 !% fi&ed cost 3 "!!T> 3 12? ; #?2; "!!(m#%
a1)
(ii) = MRdqTR
= dqqTR )#12!(
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Quantitative Methods Test (Marking Scheme) Page of 8
2
#12!
2q
qTR =
(m2% a2)
(iii) out/ut that give ma&imum revenue is @hen M- 3 !% 12! 4
#? 3 ! #? 3 12!
? 3 $!(m2% a1)
(iv) 2#
12!2q
qTR =
2
)$!(#)$!(12!
2
=TR
2
$8!!$8!!=TR
Ma&imum revenue is 2$!!(m1% a1)
(v) tota+ /rofit ()3 T- 4 T>
2
#12!
2qq =
(12? ; #?2; "!!)3 12!? 4 1*5?24 12? 4 #?2 "!!3 $*5?2; 1!8? 4
"!!
(m#% a1)(vi) M- 3 M>12 ; "? 3 12! 4 #?? 3 1!8? 3 12
(m2% a1),-
1!8 += qdq
d
at turning /oint%
!1!8 =+= qdq
d
? 3 12 unit*(m2%a1)
QUESTION (1 Marks)
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7/26/2019 Sample Test Answer
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Quantitative Methods Test (Marking Scheme) Page # of 8
(a) A 3 15B ; 2$C(a2)
(b) "B ; 12C 2$!!$B ; $C 12!!
!%! YX (each constraint 2 marks)
(c)
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7/26/2019 Sample Test Answer
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#!!
2!!
$&;$312!!
Quantitative Methods Test (Marking Scheme) Page $ of 8
(each +ine 1 mark% feasib+e region 1 mark)
>orner Points A 3 15B ; 2$C A va+ue(!% !) 15(!) ; 2$(!) !
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7/26/2019 Sample Test Answer
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Quantitative Methods Test (Marking Scheme) Page 8 of 8
(#!!% !) 15(#!!) ; 2$(!) $5!! D(!% 2!!) 15(!) ; 2$(2!!) $8!!
D(2!!% 1!!) 15(2!!) ; 2$(1!!) 5$!! D
(each D 1 mark )
The o/timum so+ution is 2!! unit of & and 1!! unit of @ith
ma&imum /rofit of -M5$!!(a1)
TOTA%: 100 MA&'S
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