Supply represents the producer's willingness to sell. A linear supply curve is written as: Qs=c+dPcap Q sub s equals c plus d cap P Qscap Q sub s : Quantity supplied : Quantity supplied when price is zero

MUxPx=MUyPythe fraction with numerator cap M cap U x and denominator cap P x end-fraction equals the fraction with numerator cap M cap U y and denominator cap P y end-fraction 3. Production and Costs

MUXPX=MUYPY⟹MUXMUY=PXPYthe fraction with numerator cap M cap U sub cap X and denominator cap P sub cap X end-fraction equals the fraction with numerator cap M cap U sub cap Y and denominator cap P sub cap Y end-fraction ⟹ the fraction with numerator cap M cap U sub cap X and denominator cap M cap U sub cap Y end-fraction equals the fraction with numerator cap P sub cap X and denominator cap P sub cap Y end-fraction

Few firms, strategic interdependence. Game theory is often used here. Summary of Key Mathematical Tools Mathematical Application Equilibrium Solving simultaneous linear equations ( Elasticity Ratios and percentage changes (

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The equilibrium price and quantity are found where the supply and demand curves intersect:

To prove that simple math is powerful, let’s do a complete mini-lesson that you would find in a high-quality .

Ep=-2×2060=-0.67cap E sub p equals negative 2 cross 20 over 60 end-fraction equals negative 0.67 , the demand at this equilibrium point is inelastic. 3. Consumer Theory: Utility and Budget Constraints

Microeconomics is the study of how individual decision-makers—households and firms—make decisions and how they interact in markets. While often perceived as complex, the foundational principles of microeconomics can be understood using simple, intuitive mathematics, largely focusing on algebra and basic arithmetic.

Consumers aim to maximize satisfaction (utility) given a limited budget. The Budget Constraint A budget line represents all combinations of two goods ( ) that a consumer can buy given income ( ) and prices ( PXcap P sub cap X PYcap P sub cap Y

Where Qs is the quantity supplied, Qd is the quantity demanded, and P is the price.