Page 1 Notes: The Supply Curve

The Supply Curve

• Core idea: The quantity supplied is the amount producers are willing to produce and offer for sale at each possible price.

• In this context (lumber), producers decide how much to grow and harvest based on the price they expect to receive for logs, which is determined by the price mills can pay for lumber.

• Therefore, the price that matters for producers is the end-market price for lumber, not just the raw log price.

• Land suitability matters: Some land is better suited to hardwood growth; the United States is well-suited overall, but within the U.S. land varies in suitability.

• The choice between focusing on only ideal locations or expanding to less suitable land depends on the expected price: higher expected prices encourage expanding into less productive land, while lower prices encourage concentrating on the most productive land.

• The quantity supplied is the counterpart to the quantity demanded by consumers: both depend on price.

• The supply decision is consistent with the idea that producers respond to price signals to allocate land and harvest effort.

• Basic formal representation:

  • The supply function can be written as $Q_s = f(P, \text{other factors})$ where P is price and "other factors" include land quality, production costs, technology, and expectations.

  • Under ceteris paribus, the slope of the supply relation is upward: \frac{dQ_s}{dP} > 0.

• Global perspective:

  • There are other regions worldwide where hardwoods could be grown (e.g., China, Canada, Germany). The actual quantity grown and harvested in these places depends on the price they can fetch.

  • This emphasizes that supply decisions are global: producers respond to world price signals, not just domestic prices.

• Examples / hypothetical scenarios:

  • Scenario 1: If lumber prices rise due to demand, tree farmers may open less productive land to increase supply, as the higher price offsets higher costs.

  • Scenario 2: If lumber prices fall, producers may restrict to prime land and reduce harvest, potentially allowing less productive land to idle.

• Connections to foundational principles:

  • Links to the law of supply: higher price induces more quantity supplied (holding other factors constant).

  • Relationship with demand: demand depends on price from the consumer side; supply depends on price from the producer side; together they determine the market price and quantity.

• Practical implications:

  • Investment decisions in forestry depend on expected prices in lumber markets.

  • Cross-country competition can shift supply availability and influence domestic lumber prices.

• Additional notes:

  • Terminology:

  • $Q_s$: quantity supplied

  • $P$: price (for lumber/logs)

  • The phrase "price they can obtain" reflects market prices and expectations.

• Summary line:

  • The supply curve captures how producers allocate land, harvest effort, and resource use in response to price signals; price for logs and the price mills can fetch for lumber drive decisions about how much to grow and harvest, with land quality and geographic flexibility shaping the extent of supply.

Land Suitability and Production Decisions

• Land quality varies across locations; within the US, some land is ideal for hardwood growth while other land is less suitable.

• Producers’ expansion into less suitable land is contingent on price expectations; higher prices provide compensation for higher costs or lower productivity.

• Conversely, lower prices incentivize concentrating production on the most productive land and possibly exiting less favorable land.

• This dynamic explains why the supply quantity at a given price can depends on the mix of land under cultivation and the costs associated with using different land.

• Implication: Supply is not only a function of price but also of the geographic and biological suitability of available land.

Global Perspectives on Supply

• Other regions (e.g., China, Canada, Germany) could potentially grow hardwoods for lumber.

• The actual level of production and harvesting in these places depends on the prices those products can fetch in global markets.

• Price signals across countries influence where growers allocate resources, affecting international supply curves and potential price convergence across markets.

Link to Demand and Market Interaction

• The transcript draws a parallel: just as the quantity demanded by consumers depends on the price they must pay, the quantity supplied by producers depends on the price they are offered.

• This symmetry underpins the basic supply-demand framework and explains the market-clearing price when the two curves intersect.

Formulas and Notation (Summary)

• Supply function (conceptual): $Q_s = f(P, \text{other factors})$

• Price elasticity intuition (conceptual): \frac{\partial Q_s}{\partial P} > 0\quad(\text{ceteris paribus})

• Key variables mentioned in the transcript:

  • $P$: price for lumber/logs

  • End-market price: the price mills can pay for lumber

  • Land quality: suitability of land for hardwood growth

Practical Takeaways

• Producers adjust the scale of lumber production based on expected prices and the cost structure associated with land quality.

• Global price signals can shift where lumber is produced, not just how much is produced.

• The supply curve is upward-sloping because higher prices make it profitable to use more land or to harvest more intensively, including on less productive land if offset by higher revenues.