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The cornerstone of microeconomics is the market mechanism, where buyers and sellers interact to determine prices and quantities. The Demand Function
, which do not change with output, like rent) and Variable Costs ( VCcap V cap C , which change with output, like raw materials). TC=FC+VCcap T cap C equals cap F cap C plus cap V cap C Average vs. Marginal Metrics To analyze efficiency, firms break costs down per unit: : Marginal Cost ( MCcap M cap C
Suppose a market has the following demand and supply equations: To find the equilibrium price ( P*cap P raised to the * power ), set the two equations equal to each other: 100−2P=10+4P100 minus 2 cap P equals 10 plus 4 cap P to both sides: 100=10+6P100 equals 10 plus 6 cap P Subtract 10 from both sides: 90=6P90 equals 6 cap P Divide by 6: P*=15cap P raised to the * power equals 15 To find the equilibrium quantity ( Q*cap Q raised to the * power ), substitute back into either the demand or supply equation: microeconomics with simple mathematics pdf
This is solved using the , which is the derivative of the utility function, or by finding where the slope of the indifference curve equals the slope of the budget constraint. C. Producer Behavior (Profit Maximization) Firms maximize profit ( ), which is total revenue ( TRcap T cap R ) minus total cost ( TCcap T cap C π=TR−TCpi equals cap T cap R minus cap T cap C
%Δ=New Value−Old ValueOld Value×100% cap delta equals the fraction with numerator New Value minus Old Value and denominator Old Value end-fraction cross 100 For a linear demand curve ( ), the point elasticity can also be written as:
Most introductory microeconomics texts explain concepts intuitively, but intermediate or advanced courses often require calculus (derivatives, optimization, integrals). However, many learners — especially those in policy, management, or self-study — benefit from a : microeconomics that uses only simple algebra , graphs , and basic arithmetic (ratios, percentages, linear equations). This approach is: All the links and descriptions below were valid
Firms look at inputs (labor and capital) to minimize costs and maximize output. The Production Function
Finally, simple mathematics serves as the language of market equilibrium. The famous Marshallian Cross, the intersection of supply and demand curves, is the iconic image of economics. Here, the algebraic equations for supply ($Q_s = c + dP$) and demand ($Q_d = a - bP$) are solved simultaneously to find the equilibrium price and quantity. This intersection represents a state of rest where the intentions of buyers match the intentions of sellers. The simple manipulation of these equations allows economists to predict the effects of government intervention, such as price ceilings or taxes. For instance, calculating the deadweight loss of a tax involves computing the area of a triangle, a geometric exercise that reveals the loss of total societal welfare that occurs when market distortions prevent mutually beneficial trades.
P = 2
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
In a competitive market, price is fixed. To maximize profit, produce where: $$\textMarginal Cost (MC) = \textPrice (P)$$
(Inelastic): Consumers are unresponsive. A price increase causes only a small drop in quantity demanded (e.g., medicine, gasoline). The Demand Function , which do not change