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The initial cost for setting up a new small scale batik factory is estimated to be RM50,000.The maintenance cost for the factory increases with the number of block-print machine beingused in the factory. The number of block-print machine used in the batik factory is B and themaintenance cost per block-print machine is RM 2,500 per month.

a! "hat is the total amount of money, in RM spent on the new batik factory#

b! $f the amount allocated for this pro%ect for the first month is RM&00, 000 includingthe set up cost!, how many block-print machines can be allowed to be used in thefactory for the first month#

Answer :

a! ' ( 2, 500) * 50, 000"here ' ( Total amount of money spent on the new batik factory

b! +ien the total cost is eual to the sum on the setup cost * maintenance costTherefore,

2, 500) * 50, 000 ( &00, 000

sing the properties gien,2, 500) * 50, 000 / 50, 000 ( &00, 000 / 50, 000

2, 500) ( 50, 000Therefore,

) ( 20

Mathematics is the uniersal language of science is essential to the technology eolution of our society. $t plays an important roles in many fields such as )iology, hysics, 1ngineering,Medicine and also Management.

i! ist two roles of Mathematics in the field of Management

ii! +ie two challenges faced by the Ministry of 1ducation in producing the students whoreally appreciate mathematics and tend to apply it in their eeryday life.

Answer :i! 1conomic, )usiness

ii! The curriculum, The assessment approaches Any suitable answers

3uppose the marginal cost function for the company which produces 4 thousand units of

books is gien by ' (

 x

50

, while its fi4ed cost is RM25,000i! 6ind the cost function

ii! 7etermine the increment in total cost for an increase in productionfrom &00 to &2& units

Answer :

i! '4! (

∫    dx xC    )('+ien fi4ed cost is 2500. 3ole '0! ( 25000

  (

dx x∫   −

2

1

50

' ( 25000

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(

C  x

+

2

1

50   21

'4! ( &00 4

2

1

* 25000

( &00 4

2

1

* '

ii!

∫    −121

100

)100()121(   C C 

( &00

121

*25000 - &00

100

 * 25000

( &00'ost increment is RM &00

a! Mathematics plays many important roles in modern technologies.6or e4ample, mathematics helps +oogle in listing the websites searched by theusers. 8re those lists of the websites arranged in certain order or random order#

9ow does mathematics help +oogle in the listing of the websites#

b! 'omplete the right column of the table below with the 83'$$ binary digits thateuialent to the respectie base : digits.

Base 6 ASCII Binary digits

2

&2

2;

&20

2&5

25<

Answer:

a! The websites searched are listed in a certain order.

Mathematics helps +oogle in ranking the websites in order of importance mostsurfed to the least surfed! so that the most important website can be presented to theuser first, followed by the less important websites.

b!

Base 6 Base 10 ASCII Binary digits

2 2 00000&0

&2 = 000&0002; &: 00&0000

&20 ;= 0&&0000

2&5 =< &0&00&&

25< &05 &&0&00&

Matematik dan 3ains memainkan peranan yang amat penting dalam penggunaan teknologimoden. Teknologi adalah sebagai satu peralatan yang memenuhi keperluan manusia ataumengatasi masalah yang dihadapi dalam kehidupan semasa. >usteru itulah, dalam 'abaranke : "awasan 2020 yang menegaskan ?..mewu%udkan masyarakat saintifik dan progresif,masyarakat yang mempunyai daya perubahan tinggi dan dasar pandang ke hadapan yang

bukan saha%a men%adi penggunaan teknologi, tetapi %uga penyambung kepada tamadunsaintifik dan teknologi masa hadapan..?.

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3enaraikan lima aplikasi matematik dalam teknologi kehidupan moden.3eterusnya, %elaskan peranan Matematik sebagai bahasa dalam teknologi moden dansebagai faktor keselamatan dalam teknologi moden.

>awapan@

5 aplikasi matematik dalam teknologi kehidupan modeni komputer i kad kreditii telepon bimbit kod bar  iii internet(lain-lain jawapan yang betul)

• Matematik 3ebagai )ahasa 7alam Teknologi Moden

&.0 Matematik sebagai bahasa dalam alat digital.&.& 3istem )inari

• eralatan digital hanya dapat memproses data dalam sistem binari saha%a.

• itar elektrik berada dalam setiap peralatan digital.

• 3istem binari hanya ada dua digit, iaitu, 0 dan &.

• = bit men%adi & byte.2.0 Aomputer dihasilkan daripada bahasa matematik.

2.& )agaimana teks ditukar ke digital#

• apan kekunci sebagai alat input

•  83'$$ 'ode  American Standard Code for Information Interchange! akan

menukarkan setiap hurufBaksara

• 0000000& ( = bit

• a ( 0&&0000&

2.2 )agaimana gambar ditukar ke digital#

• ada skrin terdapat ber%uta titik-titik kecil dinamakan pi4el  picture elements!.

• 3etiap pi4el diwakili oleh < byte < 4 = ( 2; bit!

• Combor byte akan mengawal kuantiti warna merah, biru dan hi%au yang perlu

disatukan untuk men%adi warna pi4el

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ii )erapakah kenaikan harga yang di%ual oleh pengedar dan berapa peratuskenaikan harga tersebut#

Jawapan:a. 5 aplikasi matematik dalam teknologi kehidupan moden

i komputer i kad kredit

ii telepon bimbit kod bar  iii internet

lain-lain jawapan yang betul !

b i! 9arga pemborong ( =0 4 &&5D ( RM E2ii! Aenaikan harga oleh pengedar ( RM &20.00 / RM E2.00 ( RM 2=.00

  D kenaikan harga (28

92 x100

  (