sunny barua

8/2/2019 Sunny Barua

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Sl. No. Description Quantity Rate Amount Discount 1 Discount 2

1 Refrigerator 2 24200 48400 200 2420

2 Television 2 26700 53400 200 2670

3 Iron 3 1600 4800 200 240

4 Water Filter 5 3600 18000 200 900

5 Electric Fan 6 1400 8400 200 4206 Electric Bulb 25 22 550 200 27.5

1005, CDA Avenue East

Cash Memo


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Discount 3 Discount 4 Total Discount Total

2420 2420 7460 40940

2670 5340 10880 42520

0 48 488 4312

900 900 2900 15100

0 84 704 76960 0 227.5 322.5

Grand Total 110890.5

.

Nasirabad,


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SL. NO. Name Basic Pay H. RentMedical

Allowance

Conveyance

AllowanceTotal Pay

1 Sharif 4000 2200 400 500 71002 Salam 6400 2880 400 800 10480

3 Hamid 4500 2475 400 500 7875

4 Karim 7200 2880 400 800 11280

5 Nasim 5500 2750 400 500 9150

6 Sadia 6600 2970 400 800 10770

7 Kanti 7500 3000 400 800 11700

8 Kamal 5200 2600 400 500 8700

SL. NO. Name Performance Basic PayPerformance

AllowanceConveyance Total Pay

1 PANNA Excellent 7,500.00 4,000.00 500.00 12,000.00

2 LATIF Very Good 6,400.00 3,000.00 500.00 9,900.00

3 ISMAIL Poor 4,500.00 0.00 600.00 5,100.00

4 BABLU Average 7,200.00 1,000.00 500.00 8,700.00

5 KLHALED Good 5,500.00 2,000.00 600.00 8,100.00

6 CHAITY Average 6,600.00 1,000.00 500.00 8,100.00

7 PANTHO Excellent 4,000.00 4,000.00 600.00 8,600.00

8 JAMIL Good 5,800.00 2,000.00 600.00 8,400.00

Example 2

Example 1


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G.P.F. G. Insurance W. FundTotal

DeductionNet Pay

80 100 50 230 6870128 150 50 328 10152

90 100 50 240 7635

144 150 50 344 10936

110 150 50 310 8840

132 150 50 332 10438

150 150 50 350 11350

104 150 50 304 8396

G.P.F. G. Insurance W. FundTotal

DeductionNet Pay

150.00 150.00 50.00 350.00 11,650.00

128.00 150.00 50.00 328.00 9,572.00

90.00 100.00 50.00 240.00 4,860.00

144.00 150.00 50.00 344.00 8,356.00

110.00 150.00 50.00 310.00 7,790.00

132.00 150.00 50.00 332.00 7,768.00

80.00 100.00 50.00 230.00 8,370.00

116.00 150.00 50.00 316.00 8,084.00


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Acquisition Cost

Residual Value

Estimated Life Year

Year 1 2

Straight Line Depriciation (SLN) $2,400.00

Fixed Declining Balance Method (DB) $5,937.50 $3,117.19

Double Declining Balance Method (DDB) $5,000.00 $3,000.00

Sum-of-the Years Digit Method (SYD) $4,000.00 $3,200.00

Acquisition Cost

Residual Value

Estimated Life Year

Year 1 2





Acquisition Cost

Residual Value

Estimated Life Year

Year 1 2


Example 1

Example 2

Delta Company

Date: February, 2004

Example 3


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Acquisition Cost

Residual Value

Estimated Life Year

Year 1 2


Acquisition Cost

Residual Value

Estimated Life Year

Year 1 2Double Declining Balance Method (DDB) $130,000.00 $78,000.00

Acquisition Cost

Residual Value

Estimated Life Year

Year 1 2


Agro Indutries

Date: April, 2004

Exa

Example 5

Example 4


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3 4 5

$1,636.52 $859.17 $451.07

$1,800.00 $1,080.00 $648.00

$2,400.00 $1,600.00 $800.00

3 4 5

$9,228.52 $5,767.82 $3,604.89

$9,072.00 $5,443.20 $2,164.80

$11,400.00 $7,600.00 $3,800.00

3 4 5

5

500

12500

63000

6000

5

430000

10000

5


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$50,462.17 $23,767.68 $11,194.58

$61,920.00 $37,152.00 $22,291.20

$84,000.00 $56,000.00 $28,000.00

3 4 5 6

$98,095.24 $73,571.43 $49,047.62 $24,523.81

3 4 5$46,800.00 $28,080.00 $16,848.00

3 4 5 6 7 8

$12,515.63 $9,386.72 $7,040.04 $5,280.03 $3,960.02 $2,970.02

ple 6

89000

8

5000

325000

25000

5

530000

15000

6


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Matrix 2

X Y Z Availabale

A 15 25 30 4150B 40 30 25 5200

C 25 45 30 5950

-0.016364 0.04363636 -0.02

-0.041818 -0.0218182 0.06

0.0763636 -0.0036364 -0.04

X 40Y 70

Z 60

Matrix 2

Car Labour HourMaterials

Used

Subcontracted

WorksCost of Car

A 40 100 50 18000

B 80 150 80 28000

C 100 250 100 42000

-0.1 0.05 0.01

0 -0.02 0.016

0.1 0 -0.04

Labour

Hour20

Materials

Cost112

Example 1

Mmult

Inverse

Matrix 1

Example 2

Manufacturing Company

Matrix 1

Inverse

Mmult


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Subcon.

Cost120

Matrix 2

X Y Z

3 -5 4 11

5 2 -7 -12

1 4 3 42

0.1197183 0.10915493 0.09507

-0.077465 0.01760563 0.144366

0.0633803 -0.0598592 0.109155

X 4

Y 5

Z 6

Matrix 2

P Q R

A 1 2 1 8

B 2 3 2 14

C 3 2 2 13

2 -2 1

2 -1 0

-5 4 -1

P 1

Q 2

R 3

Inverse

Mmult

Example 4Matrix 1

Example 3

Matrix 1

Inverse

Mmult


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Matrix 2

x y z Tk.

A 2 5 3 480

B 4 3 6 750

C 1 4 10 710

-0.05042 0.31932773 -0.176471

0.2857143 -0.1428571 0

-0.109244 0.02521008 0.117647

x 90

y 30

z 50

Matrix 2

X Y Z

1 -1 1 71 2 3 16

1 3 4 22

-1 7 -5

-1 3 -2

1 -4 3

x -5y -3

z 9

Example 7

Matrix 1

Inverse

Mmult

Example 6

Matrix 1

Inverse

Mmult

Example 5


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Matrix 2

X Y Z

Day1 1 10 50 7000

Day2 1 10 40 6500

Day3 1 15 50 7500

-2 5 -2

-0.2 0 0.2

0.1 -0.1 0

X 3500

Y 100

Z 50

Matrix 2

X Y Z

5 2 -8 -28

7 -6 3 48

-2 4 4 32

0.0957447 0.10638298 0.111702

0.0904255 -0.0106383 0.18883

-0.042553 0.06382979 0.117021

x 6

y 3

z 8

Matrix 2

X Y Z

A 5 8 -3 4900

Inverse

Mmult

Matrix 1

Example 9

Matrix 1

Matrix 1

Inverse

Mmult

Example 8


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B 8 -3 6 8000

C -4 7 6 3600

0.0595238 0.06845238 -0.03869

0.0714286 -0.0178571 0.053571

-0.043651 0.06646825 0.078373

X 700

Y 400

Z 600

Matrix 2

Customer X Y Z

A 6 12 5 1680

B 5 8 14 1850

C 16 7 3 2110

-0.046279 -0.0006254 0.08005

0.1307067 -0.0387742 -0.036898-0.058161 0.09380863 -0.007505

X 90

Y 70

Z 60

Matrix 2

Mango Apple Bannana Cost

Hamid 8 10 4 1630

Jamil 7 2 5 980

Zahid 6 9 3 1335

Example 11

Matrix 1

Inverse

Mmult

Example 10

Matrix 1

Inverse

Mmult


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2.1666667 -0.3333333 -2.333333

-0.5 0 0.666667

-2.833333 0.66666667 3

Mango 90Apple 75

Bannana 40

Matrix 2

Men Women Child C. Allowances

A 2 3 1 12300

B 1 1 2 7900

C 1 2 3 11600

0.25 1.75 -1.25

0.25 -1.25 0.75

-0.25 0.25 0.25

Men 2400

Women 1900

Child 1800

Matrix 2

A B C Profit

Method 1 4 8 2 84

Method 2 5 7 1 84

Method 3 5 3 9 116

-0.5 0.55 0.05

0.3333333 -0.2166667 -0.05

Inverse

Example 13

Matrix 1

Inverse

Mmult

Example 12

Matrix 1

Inverse

Mmult


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0.1666667 -0.2333333 0.1

A 10

B 4

C 6

Matrix 2

Engineer Foreman Worker Salary

Dhaka 2 6 42 492000

Ctg 1 4 36 356000

Rajshahi 1 3 24 264000

-2 -3 8

2 1 -5

-0.166667 0 0.333333

Engineer 60000

Foreman 20000

Worker 6000

Inverse

Mmult

Example 14

Matrix 1

Mmult


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No of Flights 9

No of Employees 6

Flight Schedules 60480

Boys Girls

Total Members 6 4

selected members 4 2

calculation of combination 15 6

selected committee

4 2

3 3

2 4

15 6

20 4

15 1

no of committee

Men Women

Total Members 21 4

2 1

1 2

0 3

210 4

21 6

Example 3

90

req (ii)

selected members

calculation of combination

185

Example 1

Example 2

req (i)

Selected Members

Calculation of Combination


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1 4

No of Groups

Man Woman

Total Members 6 4

3 1

2 2

1 3

0 4

20 4

15 6

6 4

1 1

selected committee

3 1

2 2

1 3

20 4

15 6

6 4

no of committee

men women

no of members 15 12

selected members 3 2

calculation 455 66

Total Combination

req (ii)

selected members


30030

Example 5

194

970

Example 4

req (i)

selected members


195


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Bengali English History Management

Number of Total Books 6 2 3 5

Selection 6 2 3 5

Calculatoion of Arrangement 720 2 6 120

Total Arrangement

A B

Total Members 6 4

3 2

4 1

5 0

20 6

15 4

6 1

No of Committee

Bowlers Wicket Keeper None

4 2 10

Selection 3 1 7

Calculation 4 2 120

Total Group

3 1 7

Req (ii)

24883200

Example 8

Selection of Members

Calculation of Combinations

186

Req (i)

Example 7

960

Example 6


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4 1 6

4 2 5

3 2 6

4 2 120

1 2 210

1 1 2524 1 210

Total Group

Boys & Girls Boys

Total 8 3

Selected 8 3

Calculation of Permutation 40320 6

No. of Arrangements 241920

Example 9

Selection

Calculation

2472


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Computer

4

4

24


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Product X Product Y Hours Used Time Available

Dept1 2 6 60 60

Dept2 5 3 54 60

Dept3 3 3 42 42

Products To Be

Produced6 8

Profit Per Unit 3 5

Total

Ingredient

X1

Ingredient

X2Quintals Used Quintals Available

Dept1 1 1 400 400

Dept2 1 0 160 160

Dept3 0 1 240 120

Products To Be

Produced160 240

Cost Per Unit 6 16

Total

Sports Coat Top Coat Rain Coat Hours Used

Cutting 1 2 2 60

Sewing 1 1.5 2 60

Detailing 0.5 1 1.5 45

Profit Maximization Case

Example 1


Example 3

58

Example 2

Cost Minimization Case

4800


24/34

Products To Be

Produced0 0 30

Profit Per Unit 5 8 12

Total

X1 X2 Hours Used Time Available

1 2 30 40

3 1 30 30

4 3 60 60

To Be Produced 6 12

Cost Per Unit 20 10Total

A B C Hours Used

D 1 60 50 40 4000

D 2 3 2 1 144

Products To Be

Produced 29.33 0.00 56.00


Total

A B Hours Used Time Available

Processing 6 3 54 54

Assembly 4 6 44 48

Packageing 5 5 50 50

Example 6

Profit Maximization Case of Toys

Example 5


134400

240

Example 4

Minimization Case

360


25/34

Products To Be

Produced8 2

Profit Per Unit 30 20

Total

Operation Hours Grade A Grade B Grade X Hours Used

i 2 50 10 100

ii 2 5 3 100

iii 4 2 2 200

Products To Be

Produced50 0 0


Total


Grinder 3 2 40 40

Sharper 3 1 20 30

Lathe 1 2 40 40

Products To Be

Produced0 20

Profit Per Unit 2 3

Total

Product A Product B Hours Used Time Available

Raw Materials (Kg.) 60.00 120.00 12000.00 12000.00

Machine Hours 8.00 5.00 600.00 600.00

Man Hours 3.00 4.00 418.18 500.00

2000

Example 7

Product Maximization Case


60

Example 9

Example 8


280


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Products To Be

Produced18.18 90.91

Sales Price Per Unit 30.00 40.00

Total

Corn Wheat Soyabean Used

Preparation 100 120 70 100000

Man-Days 7 10 8 8000

Acre 1 1 1 875

Products To Be

Produced250 625 0


Total

A B Nutrient Used Minimum Nutrient

M1 36 6 156 108

M2 3 12 36 36

M3 20 10 100 100

Products To Be

Produced4 2

Cost Per Unit 20 40

Total

Food X Food Y Units Used Units Available

Vitamin A 6 8 100 100

Vitamin B 7 12 120 120

Example 10


32500


Example 11


160

Example 12

4181.82


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Products To Be

Produced15 1.25

Cost Per Unit 12 20

Total

Machine Chair Table Hours Used Time Available

M1 3 3 36 36

M2 5 2 33 50

M3 2 6 60 60

Products To BeProduced

3 9


Total

Food 1 Food 2 Used

A 7 2 30 30

B 5 4 24 20

C 2 8 16 16

Products To Be

Produced4 1

Profit Per Unit 3 2

Total

Truck A Truck B Hours Used


330

Example 14

205

Example 13


Minimization Case

14

Example 15


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Refrigereted 20 30 900 900

Non-Refrigereted 40 30 1200 1200

Products To Be

Produced15 20


Total

M1 M2 M3 M4

Steel 6 5 3 2

Brass 3 4 9 2Man-Weeks 1 2 1 2

Products To Be

Produced14.72 0.00 3.19 1.04

Profit Per Unit 6.00 4.00 7.00 5.00

Total


Foundry 10 6 1000 1000

Machine Shop 5 4 600 600

Products To Be

Produced40 100


Total

Example 16

Maximization Case

115.90

3200

Example 17

Case

1250


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Time Available

80

60

50


30/34

Time Available

4000

144


31/34

Time Available

100

400

600


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Available

100000

8000

1000


33/34


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Hours Used Time Available

100 100

75 7520 20

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