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Unit 1

1.2 Opportunity Cost and the Production Possibilities Curve (PPC)

4 min readseptember 12, 2020

Jeanne Stansak

caroline49234295

Caroline Koffke


Introduction to the Production Possibilities Curve (PPC)

The production possibilities curve is the first graph that we study in microeconomics. It shows us all of the possible production combinations of goods, given a fixed amount of resources. We assume three things when we are working with these graphs:
  • Only two goods can be made
  • Resources are fixed
  • Technology is fixed
The production possibilities curve can illustrate several economic concepts including

Efficiency

    • Allocative Efficiency - This efficiency means we are producing at the point that society desires. This is represented by a point on the production possibilities curve that meets the desires and needs of a particular society. If you are given the situation where a particular society needs about an equal amount of sugar and wheat then the allocative efficient point would be C.
    • Productive Efficiency - This efficiency means we are producing at a combination that minimizes costs. This is represented by any point on the production possibilities curve. In the below graph this is represented by points A, B, C, D, and E.
    • Point F in the graph below represents an inefficient use of resources. You can produce at this point, but you are not using all your resources as efficiently as possible.
    • Point G represents a production level that is unattainable. At this point, you do not have the needed amounts of resources to produce the number of goods shown.
    https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-Y5iLBGpyw0RM.PNG?alt=media&token=d33825aa-b88a-4e3c-8df8-876b2d4ff01b

    Scarcity

    Since scarcity is a situation where there are limited resources versus unlimited wants, a production possibilities curve is used to show how we produce goods and services under this condition. This is shown in the graph above by showing how, given a fixed set of resources, we can produce either combination A, B, C, D, or E.

    Opportunity Cost/Per-Unit Opportunity Cost

    This is the value of the next best alternative. We represent this as what we are losing when we change our production combination. For example, moving from A to B on the graph above has an opportunity cost of 10 units of sugar. Per-unit opportunity cost is determined by dividing what you are giving up by what you are gaining. So for the graph above, the per-unit opportunity cost when moving from point A to point B is 1/4 unit of sugar (10 sugar / 40 wheat).Opportunity Cost can also be determined using a production possibilities table:
    https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-wQj2YiMOaD7o.png?alt=media&token=8f0335f8-5b8d-4de7-8f00-9c140baddb52
    The opportunity cost of moving from point C to D is 40 tons of oranges. The per-unit opportunity cost of moving from point C to point D is 1/2 ton of oranges (40 tons of oranges/80 tons of pears).

    Formulas to Calculate Opportunity Cost

      • The opportunity cost for GOOD X = Δ Good Y Production/Δ Good X Production
      • The opportunity cost for GOOD X = Time to Make 1 Unit of GOOD X/Time to Make 1 Unit of GOOD Y

    Economic Growth

    Economic growth is shown by a shift to the right of the production possibilities curve.
    https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-9bzB8CcPiEl0.png?alt=media&token=c4a07d39-60e0-4223-834f-549eeef891fa
    If a country produces more capital goods than consumer goods, the country will have greater economic growth in the future. If the country illustrated below produces at point B, they will see more economic growth than if they produce at point D. Since capital goods are tools and machinery, the increased production of them will lead to more production of consumer goods in the future, causing more economic growth.
    https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-dZfNWJUthABb.png?alt=media&token=e625a6d5-e820-448e-a768-d67ed2e0f9de

    Economic Contraction

    Economic contraction is shown by a leftward shift of the production possibilities curve.
    https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-RxeMUWFFrxTh.png?alt=media&token=9dfe532d-14fb-48c0-a6be-912083f5c253

    Constant Opportunity Cost vs. Increasing Opportunity Cost

    The production possibilities curve can illustrate two types of opportunity costs. Increasing opportunity costs occurs when you produce more and more of one good and you give up more and more of another good. This occurs when resources are less adaptable when moving from the production of one good to the production of another good. Constant opportunity cost occurs when the opportunity cost stays the same as you increase your production of one good. This indicates that the resources are easily adaptable from the production of one good to the production of another good.
    https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-9OHX6WJVNtjy.png?alt=media&token=362d1c33-f786-4e7d-8c8f-ea72ebac73fd
    The graph on the left shows increasing opportunity cost and the graph on the right shows constant opportunity cost. The graph on the left shows increasing opportunity cost because as you move from point A to B you give up 10 pizzas but as you move from point B to C you give up 30 pizzas. The graph on the right shows constant opportunity costs because when you move from point A to point B you give up 10 pizzas and when you move from point B to point C you give up 10 pizzas.

    Shifters of the Production Possibilities Curve (PPC)

    There are several factors that can cause the production possibilities curve to shift. These factors include:
    1. Change in the quantity or quality of resources
    2. Change in technology
    3. Trade
    The production possibilities curve can show how these changes affect it as well as illustrate a change in productive efficiency and inefficiency.
    Here are some scenarios that illustrate these shifters:
    https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2F-m9vtkYYjf4jf.png?alt=media&token=abadd166-1560-4d52-bcba-6252d5c25300
    The graph on the left shows how an improvement in the quality of resources impacts the graph. The graph on the right shows what happens when a country is producing at an inefficient point.
    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
    The graph on the left shows a technology change that just impacts one good that a country produces, and the graph on the right shows what happens when the quantity of resources changes (i.e. number of workers decrease).

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