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Page 1: Http:// Economic&Mathematica 1+1==2 ?

http://www.ppthi-hoo.com

Economic&Mathematica

1+1==2?

Page 2: Http:// Economic&Mathematica 1+1==2 ?

http://www.ppthi-hoo.com

Economic&Mathematica

Type A

1 1+1=1

Page 3: Http:// Economic&Mathematica 1+1==2 ?

http://www.ppthi-hoo.com

Economic&Mathematica

Developing photos 1+1=1

Page 4: Http:// Economic&Mathematica 1+1==2 ?

http://www.ppthi-hoo.com

Economic&Mathematica

Type B

1 1+1=1.5

Page 5: Http:// Economic&Mathematica 1+1==2 ?

http://www.ppthi-hoo.com

Economic&Mathematica

MacDonald: The second cup half price !

Page 6: Http:// Economic&Mathematica 1+1==2 ?

23/4/11

height=11.5cmradius=3.3cm

• If we confirmed the volume• then what kind of proportion can

minimise the superficial area?

Page 7: Http:// Economic&Mathematica 1+1==2 ?

23/4/11

Volume & Superficial area

214.3 hrV

rhrS 28.628.6 2

Page 8: Http:// Economic&Mathematica 1+1==2 ?

23/4/11

Confirming the volume

• then the superficial area

• when h=r ,we get the minimum of S.• So the cost of material will be least.

)22

(14.3 2min rh

hrS

Page 9: Http:// Economic&Mathematica 1+1==2 ?

23/4/11

BUT....

• h=11.5cm• r=3.3cm• This will waste about30% material

• why?

Page 10: Http:// Economic&Mathematica 1+1==2 ?

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• It is more like a fish can ,right?

Page 11: Http:// Economic&Mathematica 1+1==2 ?

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Reason

• Customers may misleading by horizontal-vertical illusion .

• which one you thinka little bit longer?

Page 12: Http:// Economic&Mathematica 1+1==2 ?

23/4/11

So,this is the real reason why factory produ

ce the container like this, which as we can see today on the supermarket. Customers are more likely to buy the longer one. Even if they know they are the same, or the shorter one can contain more than the longer one.

Page 13: Http:// Economic&Mathematica 1+1==2 ?

Why does milk come in rectangular containers?

Page 14: Http:// Economic&Mathematica 1+1==2 ?

Round container?

Page 15: Http:// Economic&Mathematica 1+1==2 ?

Why soft drinks come in round cans?

Page 16: Http:// Economic&Mathematica 1+1==2 ?

One possibility

soft drinks are often consumed directly from the container, the extra cost of strong cylindrical containers is justified because they fit more comfortably in the hand…

Page 17: Http:// Economic&Mathematica 1+1==2 ?

Milk comes in rectangular containers, while soft drinks come in round cans?

What makes the different?

Page 18: Http:// Economic&Mathematica 1+1==2 ?

But even if most people drank milk straight from the carton, the cost-benefit principle suggests that it would

be unlikely to be sold in cylindrical containers.

Page 19: Http:// Economic&Mathematica 1+1==2 ?

Most soft drinks in supermarkets are stored in open shelves, which are cheap to buy and have no operating costs.

Milk is exclusively stored in refrigerated cabinets, which are both expensive to purchase and costly to operate.

Page 20: Http:// Economic&Mathematica 1+1==2 ?

What’s more?