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eFarmer. us Example: Corn vs. Soybeans Production Possibilities Frontier A mathematical model which shows efficient combinations of output produced given available factors of production and unchanged technology Copyright 2012 eStudy.us [email protected] Corn Soybea n Illustrates the use of assumptions Marginal decision making Opportunity Cost Increasing Opportunity Cost Sensitivity Analysis (Changing Assumptions)

EFarmer.us Example: Corn vs. Soybeans Production Possibilities Frontier A mathematical model which shows efficient combinations of output produced given

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Page 1: EFarmer.us Example: Corn vs. Soybeans Production Possibilities Frontier A mathematical model which shows efficient combinations of output produced given

eFarmer.us

Example: Corn vs. Soybeans

Production Possibilities Frontier

A mathematical model which shows efficient combinations of output produced given available factors of production and unchanged technology

Copyright 2012 eStudy.us [email protected]

Corn

Soybean

Illustrates the use of assumptions

Marginal decision making

Opportunity Cost

Increasing Opportunity Cost

Sensitivity Analysis (Changing Assumptions)

Page 2: EFarmer.us Example: Corn vs. Soybeans Production Possibilities Frontier A mathematical model which shows efficient combinations of output produced given

eFarmer.us

• Fixed resources• Technology unchanged• Fully employed

100 acresOne Tractor

Corn Soybeans

10,000 0

8,000 1,000

6,000 2,000

4,000 3,000

2,000 4,000

0 5,000

Copyright 2012 eStudy.us [email protected]

The opportunity cost of one bushel of soybean is two bushels of corn

Assumptions

3,000

4,000

6,000

2,000

10,000

Corn

Soybean5,0000

Production Possibilities Frontier

Efficient Production

Page 3: EFarmer.us Example: Corn vs. Soybeans Production Possibilities Frontier A mathematical model which shows efficient combinations of output produced given

eFarmer.us

Copyright 2012 eStudy.us [email protected]

Failed to use all the resource (less than 100 acres of land)

Corn

Soybean

10,000

Efficient

Unattainable

Inefficient

Can not achieve this combination of production with given resource and technology

All points on the line (curve) represent efficient combinations of output (using all 100 acres of land)

Scarcity limits an economy to points on or below the production possibilities curve

Production Possibilities Frontier

5,000

Page 4: EFarmer.us Example: Corn vs. Soybeans Production Possibilities Frontier A mathematical model which shows efficient combinations of output produced given

eFarmer.us

Corn Soybeans10,000 0

9,500 1,0008,500 2,0006,500 3,0003,500 4,000

0 5,000

Copyright 2012 eStudy.us [email protected]

Corn

Soybean

5,000

3,0003,500

6,500

1,0002,000

4,000

8,500

9,50010,000 One Corn for One Soybean

Three Corn for One Soybean

Now the farmer faces increasing opportunity cost as he continues to add soybeans in production

2000 3000 6500 3500 1000 3000

Soybeans Corn

1000 2000 9500 8500

1000 1000

Production Possibilities Frontier

Page 5: EFarmer.us Example: Corn vs. Soybeans Production Possibilities Frontier A mathematical model which shows efficient combinations of output produced given

eFarmer.us

Suppose the farmer purchases more land

Suppose the farmer purchases a new tractor improving technologically

or

Copyright 2012 eStudy.us [email protected]

Corn

Soybean

5,000

3,0003,500

6,500

1,000

2,000

4,000

8,500

9,50010,000

Causes the production possibilities frontier to shift out allowing for the production of more corn and or soybean

6,000

12,000

Production Possibilities Frontier

Page 6: EFarmer.us Example: Corn vs. Soybeans Production Possibilities Frontier A mathematical model which shows efficient combinations of output produced given

eFarmer.us

Suppose technology improves for soybean but not for corn

Causes the production possibilities frontier to shift out for soybean but not for corn

Copyright 2012 eStudy.us [email protected]

A farmer producing only corn will see no value in the new technology.

Corn

4,000

10,000

Soybean

5,000

3,0003,500

6,500

1,0002,000

8,5009,500

A farmer producing only soybean will get full value from the technology. A farmer producing both will get some value from the technology.

6,0007,000

Production Possibilities Frontier

Page 7: EFarmer.us Example: Corn vs. Soybeans Production Possibilities Frontier A mathematical model which shows efficient combinations of output produced given

eFarmer.us

Will new technology determine the combination of production?

Copyright 2012 eStudy.us [email protected]

Farmers can use less land to product 4,000 soybeans

Corn

4,000 Soybean

3,500

Directing the remaining land to increase corn output from 3,500 to 6,800 Markets determine what to produce not technology

Original combination• 3,500 corn• 4,000 soybeansSuppose the world only wants 4,000 soybeans.

6,800

Production Possibilities Frontier