Find the point of equilibrium of the demand and supply...

Find the point of equilibrium of the demand and supply equations. The point of equilibrium is the price $p$ and the number of units $x$ that satisfy both the demand and supply equations.
Demand $\quad$ Supply
$p=100-0.05 x \quad p=25+0.1 x$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Market Equilibrium

Market equilibrium is the point at which the quantity of a good demanded by consumers equals the quantity supplied by producers. At this unique price and quantity, there is no surplus or shortage, and the market is considered to be in a state of balance.

Supply and Demand Functions

Supply and demand functions are mathematical representations that describe the relationship between the price of a good and the quantity supplied or demanded. These functions illustrate how producers are willing to sell and consumers are willing to buy a product at various price levels, serving as fundamental tools in economic analysis.

System of Linear Equations

A system of linear equations is a collection of two or more linear equations involving the same set of variables. In the context of economic models, equilibrium points are often found by setting these equations equal to each other and solving for the variables, which represent quantities like price and units sold.

Solving Systems of Equations

Solving systems of equations involves finding values for the variables that satisfy all equations simultaneously. Common methods include substitution, elimination, and graphical analysis. This process is essential for determining equilibrium conditions in models where multiple relationships must be satisfied at once.

Transcript

Please give Ace some feedback