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when production is characterized by opportunity costs, the resulting production possibilities frontier will be a straight line.

The statement

“When production is characterized by opportunity costs, the resulting production possibilities frontier will be a straight line.”

is false.

Quick Scoop

  • A straight-line production possibilities frontier (PPF) occurs when opportunity costs are constant , not merely when they exist.
  • In most real-world cases, opportunity cost increases as you shift resources from one good to another, so the PPF is bowed outward (concave) rather than a straight line.
  • The key idea: the shape of the PPF tells you how opportunity cost behaves as production changes.

What the PPF Actually Shows

A production possibilities frontier shows all maximum combinations of two goods an economy can produce using its resources and technology efficiently.

  • Points on the frontier: efficient use of resources.
  • Points inside : unemployment or inefficiency.
  • Points outside : unattainable with current resources and technology.

As you move along the PPF, producing more of one good means giving up some of the other good, and that trade-off is the opportunity cost.

When Is the PPF a Straight Line?

A straight-line (linear) PPF means constant opportunity cost : every extra unit of good A always costs you the same fixed amount of good B.

This happens when:

  • Resources are not specialized and can be shifted between goods without any loss of productivity.
  • Inputs are perfectly substitutable between the two goods (for example, the same land, labor, and capital can make either good equally well).

Illustration: If an economy can trade off 1 cake for exactly 2 cookies at every point, the opportunity cost of a cake is always 2 cookies, so the PPF is a straight line.

When Is the PPF Bowed Outward?

In realistic economies, the PPF is usually bowed outward (concave) because of increasing opportunity cost.

This occurs when:

  • Resources are specialized : some inputs are better at producing good A, others at good B.
  • As you produce more of A, you are forced to pull in resources that were relatively better at making B, so the cost (in units of B) rises.

Example: Land suited for wheat versus land suited for corn; as you push further into wheat, you end up using land that was really good for corn, so you give up more and more corn per extra unit of wheat.

Multi-View: What the Statement Gets Wrong

  • It confuses the existence of opportunity cost with constant opportunity cost. Any nontrivial PPF has opportunity costs; that’s built into the model.
  • The shape is driven by how opportunity cost behaves:
    • Constant opportunity cost → straight line.
* **Increasing** opportunity cost → bowed-out curve.

So the correct way to phrase it would be closer to:

“When production is characterized by constant opportunity costs, the production possibilities frontier will be a straight line.”

Summary (TL;DR)

  • The given sentence is not correct as written ; it’s missing the word “constant”.
  • Straight-line PPF ⇔ constant opportunity cost; bowed-out PPF ⇔ increasing opportunity cost.

Information gathered from public forums or data available on the internet and portrayed here.