Present Eng1

The mathematical model for making decision to sell

the rubber latex to reach the highest return in economics

Researchers Raviwan AkarapatimaSubongkoch SubhadhirasakunMontira Tangsangasaksri

Advisor Mr. Sorachai Saelim

Mrs. Suphannee Nawasitpaisan

IntroductionIntroduction

IntroductionIntroduction

ObjectiveObjective

This project attempts to develop mathematical model in order to help make decisions among selling rubber latex, raw rubber sheet, and rubber scraps with maximum revenue.

ExperimentsExperiments

1. Produce a rubber sheet

2. Make a questionnaires

3. Analyze data from questionnaires

4. Analyze the lever of contentment

1. Producing a rubber sheet1. Producing a rubber sheet

Prepare formic acid’s concentration

Find Dry Rubber Content (DRC)

Find Total Solid Content (TSC)

Produce a rubber sheet

Finding Dry Rubber Content Finding Dry Rubber Content (DRC)(DRC)

Spin the rubber latex in order to remove an ammonia

Pipette rubber latex 20 mL, weight

Drop Formic acid 90% w/v, wait until it hard

Weight and find % DRC

Wash out the acid and bake at 60 0C for 6 hours

(Total Solid Content; TSC)

Finding Total Solid Content (TSC)Finding Total Solid Content (TSC)

Spin the rubber latex in order to remove an ammonia

Pipette rubber latex 20 mL, weight

Weight and find % DRC

Bake at 60 0C for 6 hours

Producing a rubber sheetProducing a rubber sheet

Mix rubber latex 6 mL and water 4 mL togetherin the vessel

Pipette Formic acid 1.50% 0.78 mL into the vessel

wait until it hard for 30 minutes

Wash hard rubber, weight, observe and note a result

Bake the rubber at 60°C

Do all experiments again, change formic acid’s concentration 1.50%, 1.75%, 2.00%,

2.25%, 2.50%, 2.75% and 3.00% respectively

Producing a rubber sheetProducing a rubber sheet

2. 2. Making a questionnairesMaking a questionnaires

Part 1Part 1 Individual informationIndividual information such as sex, age, etc.such as sex, age, etc.

Part 2Part 2 The level of contentment of selling raw The level of contentment of selling raw rubber sheet, rubber latex and rubber scraps testrubber sheet, rubber latex and rubber scraps test

Part 2.1 Evaluate from generality

Part 2.2 Evaluate from some conditions

Part of the QuestionnairePart of the Questionnaire

Part of the QuestionnairePart of the Questionnaire

Part of the QuestionnairePart of the Questionnaire

3. Analyze data from the questionnaire3. Analyze data from the questionnaire

Analyze frequencies from the questionnaire

Create Regression equation

CreatingCreating Regression EquationsRegression Equations

Analyze data with Regressing from SPSS program

Make and test Hypothesis

Find the coefficients of each variable

Create Regression Equations

Making and testing hypothesisMaking and testing hypothesis

1. Making Null Hypothesis and Alternative Hypothesis

H0 : Null Hypothesis and

H1 : Alternative Hypothesis

2. Hypothesis Testing

Sig reject H0Sig > accept H0

Finding the coefficients of each variable

Use Coefficients table from SPSS program

Creating Regression EquationsCreating Regression Equations

Find y intercept

Put the coefficients in front of xn

Make an equations like = a+a1x1+a2x2+a3x3+…+anxny

Creating Regression EquationsCreating Regression Equations

4. Analyze the level of contentment4. Analyze the level of contentment

Analyze the mean of each item of the questionnaire

Substitute x with mean in the equations

Compare the level of contentment in chart form

ResultsResults

Table 1 Dry Rubber Content (DRC )

41.6734.1647.5300.84918.0670.097

After bakedBefore bakedDRC (%)

Weight (g)

ResultsResults

Table 2 Total Solid Content (TSC)

41.7770.7287.5700.07018.1230.324

After bakedBefore bakedTRC (%)

Weight (g)

ResultsResults

2.00%1.75%1.50%

Producing rubber sheet

2.50%

2.75%2.25%

3.00%

ResultsResults

ResultsResults

fedcbay 042.0216.0252.0105.0205.0136.0158.0ˆ 1.1

fedcbay 111.0177.0161.0192.0151.0185.074.0ˆ 2.1

fedcbay 123.0186.0224.0191.0141.0112.0161.0ˆ 3.1

1.1. Let the producing time be constant.Let the producing time be constant.

1.1. Let the producing time be constant.Let the producing time be constant.

a is convenience.

From the equation

b is price.

c is payment.

d is quality of product.

e is asset.

f is amount of Para latex.

ResultsResults

2. Let the price of selling product be constant.2. Let the price of selling product be constant.

fedcbay 260.0345.060.0148.0156.077.0332.0ˆ 1.2

fedcbay 71.0162.0238.0065.0241.0196.061.0ˆ 2.2

fedcbay 132.0259.0077.0013.0075.0398.085.0ˆ 3.2

a is convenience.

From the equation

b is time of production.

c is payment.

d is quality of product.

e is asset.

f is amount of Para latex.

2. Let the price of selling product be constant.2. Let the price of selling product be constant.

ResultsResults3.3. Let the convenience of product transportation Let the convenience of product transportation

be constant.be constant.

fedcbay 086.0200.0096.0115.0241.0273.062.0ˆ 1.3

fedcbay 169.0188.0185.0109.0200.0156.01.0ˆ 2.3

fedcbay 056.0220.0192.0075.0204.0257.019.0ˆ 3.3

a is price.

From the equation

b is time of production.

c is payment.

d is quality of product.

e is asset.

f is amount of Para latex.

3.3. Let the convenience of product transportation Let the convenience of product transportation

be constant.be constant.

ResultsResults

4.4. Let the occupational factors are the same.Let the occupational factors are the same.

gfedcbay 192.0080.0156.0062.0061.0089.0262.0324.0ˆ 1.4

gfedcbay 139.0174.0152.0161.080.0153.0149.0016.0ˆ 2.4

gfedcbay 170.007.0198.0166.0111.0170.0076.0166.0ˆ 3.4

a is convenience.

From the equation

b is price.

c is time of production.

e is quality of product.

f is asset.

g is amount of Para latex.

d is payment.

4.4. Let the occupational factors are the same.Let the occupational factors are the same.

ResultsResults

5.5. Let a number of garden are constant.Let a number of garden are constant.

gfedcbay 177.0122.0163.0092.0098.0159.0188.021.0ˆ 2.5

gfedcbay 120.0126.0072.0312.0014.0199.0156.021.0ˆ 3.5

gfedcbay 430.0080.0249.0234.0044.0132.0200.059.0ˆ 1.5

a is convenience.

From the equation

b is price.

c is time of production.

e is quality of product.

f is asset.

g is amount of Para latex.

d is payment.

5.5. Let a number of garden are constant.Let a number of garden are constant.

ResultsResults

6.16.1 Let Para latex in rainy season is constant.Let Para latex in rainy season is constant.

fedcbay 099.0143.0175.0214.0181.0180.031.0ˆ 1.1.6

fedcbay 048.0244.0170.0323.0092.0047.0223.0ˆ 2.1.6

fedcbay 067.0195.0163.0177.0188.0208.0048.0ˆ 3.1.6

a is price.

From the equation

b is convenience.

c is investment.

d is amount of Para latex.

e is production.

f is that It’s not an optional to sell other products.

6.16.1 Let Para latex in rainy season is constant.Let Para latex in rainy season is constant.

ResultsResults

fedcbay 093.0061.0020.0352.0309.0124.0058.0ˆ 2.2.6

fedcbay 106.0212.0157.0176.0197.0137.0036.0ˆ 1.2.6

fedcbay 061.0161.0203.0206.0144.0215.0009.0ˆ 3.2.6

6.26.2 Let Para latex in winter is constant.Let Para latex in winter is constant.

a is price.

From the equation

b is convenience.

c is investment.

d is amount of Para latex.

e is production.

f is that It’s not an optional to sell other products.

6.2 Let Para latex in winter is constant.6.2 Let Para latex in winter is constant.

ResultsResults

fedcbay 079.0250.0208.0121.0194.0123.0063.0ˆ 1.3.6

fedcbay 134.0147.0188.0195.0172.0163.0008.0ˆ 3.3.6

fedcbay 094.0153.0226.0159.0170.0191.0008.0ˆ 2.3.6

6.36.3 Let Para latex in summer is constant.Let Para latex in summer is constant.

a is price.

From the equation

b is convenience.

c is investment.

d is amount of Para latex.

e is production.

f is that It’s not an optional to sell other products.

6.36.3 Let Para latex in summer is constant.Let Para latex in summer is constant.

แผนภมแทงแสดงคาความพงพอใจ(1)

3.646 3.734 3.554

0.0000.5001.0001.5002.0002.5003.0003.5004.0004.5005.000

ยางแผนดบ ยางกนถวย นำำายางสด

คาความพงพอใจ

Analyzed DataAnalyzed Data1.1. Let the producing time be constant.Let the producing time be constant.

แผนภมแทงแสดงคาความพงพอใจ(2)

7.611

5.448

4.310

0.000

2.000

4.000

6.000

8.000

10.000

12.000

ยางแผนดบ ยางกนถวย นำำายางสด

) คาความพงพอใจ

Analyzed DataAnalyzed Data2. Let the price of selling product be constant.2. Let the price of selling product be constant.

แผนภมแทงแสดงคาความพงพอใจ(3)

6.332

2.898 3.323

0.000

1.0002.000

3.000

4.0005.000

6.000

7.0008.000

9.000

ยางแผนดบ ยางกนถวย นำำายางสด

คาความพงพอใจ

Analyzed DataAnalyzed Data3.3. Let the convenience of product transportation be constant.Let the convenience of product transportation be constant.

แผนภมแทงแสดงคาความพงพอใจ(4)

3.486

4.948

3.022

0.000

1.000

2.000

3.000

4.000

5.000

6.000

7.000

ยางแผนดบ ยางกนถวย นำำายางสด

คาความพงพอใจ

Analyzed DataAnalyzed Data4.4. Let the occupational factors are the same.Let the occupational factors are the same.

แผนภมแทงแสดงคาความพงพอใจ(5)

5.574

3.360 3.354

0.000

1.000

2.000

3.000

4.000

5.000

6.000

7.000

ยางแผนดบ ยางกนถวย นำำายางสด

) คาความพงพอใจ

Analyzed DataAnalyzed Data5.5. Let a number of garden are constant.Let a number of garden are constant.

แผนภมแทงแสดงคาความพงพอใจ(6.1)

3.494 3.0382.743

0.000

0.5001.000

1.500

2.0002.500

3.000

3.5004.000

4.500

ยางแผนดบ ยางกนถวย นำำายางสด

คาความพงพอใจ

Analyzed DataAnalyzed Data6.16.1 Let Para latex in rainy season is constant.Let Para latex in rainy season is constant.

แผนภมแทงแสดงคาความพงพอใจ(6.2)

3.494 3.436 3.094

0.000

0.5001.000

1.500

2.0002.500

3.000

3.5004.000

4.500

ยางแผนดบ ยางกนถวย นำำายางสด

คาความพงพอใจ

Analyzed DataAnalyzed Data6.26.2 Let Para latex in winter is constant.Let Para latex in winter is constant.

แผนภมแทงแสดงคาความพงพอใจ(6.3)

3.41254717 3.3550754723.078811321

0

0.51

1.5

22.5

3

3.54

4.5

ยางแผนดบ ยางกนถวย นำำายางสด

คาความพงพอใจ

Analyzed DataAnalyzed Data6.36.3 Let Para latex in summer is constant.Let Para latex in summer is constant.

ConclusionConclusion

From the data, we can make 6 sets of equation which they are different in each constant factors that mentions in above.

SuggestionSuggestion

From the column charts of satisfaction, mostly of the gardeners of sample group are satisfy to sell “rubber sheets”.

SuggestionSuggestion

These sets of equation can be apply in many places that have been planted Para trees ,but the equations may be chanced because their satisfactions are different.

(The way to make the equations are follow in above.)

AcknowledgementAcknowledgement

• Department of chemistry, Mahidol Wittayanusorn School

• Mr. Sorachai Saelim• Mrs. Supannee Navasittipisan

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กรงเทพฯ: โรงพมพแหงจฬาลงกรณมหาวทยาลย, 2548.สวนยางพารา [Online]. Available HTTP: http://chaosuan.com/modules.php?op=เสาวนย กอวฒกลรงษ. 2547. การผลตยางธรรมชาต. คณะวทยาศาสตรและเทคโนโลย

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