With Simple Mathematics Pdf [portable] — Microeconomics

ϵ=−b×PQepsilon equals negative b cross the fraction with numerator cap P and denominator cap Q end-fraction Elasticity Classifications

To avoid getting different elasticities depending on whether a price rises or falls, economists use the midpoint (or arc) formula:

𝜕Q𝜕Kthe fraction with numerator partial cap Q and denominator partial cap K end-fraction

Note: For any linear demand curve, the marginal revenue curve has the exact same vertical intercept ( ) but twice the downward slope ( The monopolist sets Q*cap Q raised to the * power microeconomics with simple mathematics pdf

Market equilibrium occurs at the price where the quantity consumers want to buy exactly equals the quantity producers want to sell: cap Q sub d equals cap Q sub s 3. Solve for the Equilibrium Price ( cap P raised to the * power

ΔQdΔPthe fraction with numerator cap delta cap Q sub d and denominator cap delta cap P end-fraction

represents how much demand drops as price increases. This "downward slope" reflects the Law of Demand Supply Equation ( cap Q sub s Expressed as ϵ=−b×PQepsilon equals negative b cross the fraction with

to solve for output, then use the demand curve to find the monopoly price. Summary Reference Table General Equation Mathematical Operation / Components Balance demand and supply equations Price Elasticity First derivative of demand multiplied by price/quantity Budget Constraint Total expenditure equals income Consumer Optimization Marginal Rate of Substitution equals price ratio Marginal Cost First derivative of the Total Cost function Profit Maximization

Pizza costs $2 (MU = 20 utils). Soda costs $1 (MU = 10 utils).

, you find the equilibrium quantity where buyers and sellers are perfectly synced. 3. Consumer Choice and Utility When the slope is steep

The mathematics here is accessible yet profound. The slope of the PPF represents the opportunity cost. When the slope is steep, the opportunity cost is high; when it is flat, the opportunity cost is low. This simple linear equation (often written as $y = mx + c$ in introductory models) demonstrates the concept of efficiency. Points inside the curve represent inefficiency or unemployment, while points outside are unattainable given current technology. Thus, a simple two-dimensional graph instantly communicates the constraints of scarcity and the necessity of choice.

The supply curve shows the direct relationship between price ( ) and quantity supplied ( Qscap Q sub s ). A standard linear supply equation is: Qs=c+dPcap Q sub s equals c plus d cap P

cap Q raised to the * power equals a minus b open paren cap P raised to the * power close paren Mathematical Summary of Market Equilibrium

Costs that change with production (raw materials). Average Total Cost (ATC):

Example: Qs=10+3PExample: cap Q sub s equals 10 plus 3 cap P C. Market Equilibrium Market equilibrium occurs where