Notes on Demand and Supply Analysis: Indirect Taxes, Subsidies, and Related Concepts

The Labour Market

Part 1 topics listed in the transcript:
- The labour market
- The primary products market (raw materials, agricultural goods)
Part 2 topic:
- Decision making by economic agents (consumers, producers, government) using PED, YED, CED
Part 3 topics:
- Taxes and Subsidies
- Price Controls (Maximum & Minimum Prices)
- Quantity Controls - Quotas
Page references from the transcript indicate diagram references or sections on pages 36–39.

Covered as Part 1 alongside the labour market, focusing on raw materials and agricultural goods.

PED = Price Elasticity of Demand
- Definition: PED = \frac{dQ_d}{dP} \cdot \frac{P}{Q}
- Interpretation: sensitivity of quantity demanded to price changes.
YED = Income Elasticity of Demand
- Definition: YED = \frac{dQ_d}{dI} \cdot \frac{I}{Q}
- Interpretation: how demand responds to income changes; normal vs inferior goods.
CED = Cross-Price Elasticity of Demand
- Definition: CED = \frac{dQd^X}{dP^Y} \cdot \frac{P^Y}{Qd^X}
- Interpretation: how the quantity demanded of good X responds to a price change of good Y (substitutes vs complements).
Practical uses (inferred from transcript):
- Consumers, producers, and government use PED, YED, and CED to inform decision making.
Note: The transcript signals these concepts as essential tools for analyzing real-world markets and agent behavior.

Taxes and subsidies are key government interventions in markets.
Subtopics mentioned in the transcript:
- Indirect Tax
- Specific Tax
- Ad valorem Tax
- Subsidy
The role of taxes/subsidies in altering production costs and market outcomes is highlighted through supply shifts and incidence considerations.

Mentioned as Part 3 of the course content.
Not elaborated in the provided transcript, but generally refers to regulatory limits on price levels (ceilings and floors) and their effects on equilibrium price, quantity, and welfare.

Mentioned as Part 3 of the course content.
Not elaborated in the provided transcript, but typically refers to binding limits on the quantity of a good that can be produced or traded, affecting scarcity and price.

Taxes levied by government on spending; examples include:
- GST (Goods and Services Tax)
- Cigarettes excise tax
Payment flow:
- Paid to government authorities by the producers first.
Pass-through decision:
- Producers can decide whether to pass the indirect tax to consumers via higher prices.
Effect on production costs and supply:
- Since the indirect tax is imposed on producers, it increases the producer's cost of production and will affect the producer’s supply of the good.
Page reference: 36.

Definition:
- A fixed sum per unit sold. The tax amount is constant per unit, regardless of price.
Graphical interpretation:
- The vertical distance between the two supply curves represents the fixed tax amount, t.
Key relation:
- If the original supply is S0, the new supply with tax becomes S1, shifted upward by t: ext{Shift magnitude} = t
Page reference: 37.

Definition:
- A tax that is a certain percentage of the value (price) of the good (e.g., GST).
Graphical interpretation:
- Leads to a leftward/upward shift in the supply curve that depends on price, rather than a fixed vertical shift.
Key characteristics:
- The higher the value of the good, the higher the tax amount per unit
- Tax is proportionate to price: tax per unit $= r \cdot P$ where $r$ is the ad valorem rate.
Practical implication:
- Because the tax scales with price, demand and supply responses can be more complex than a fixed per-unit tax.
Page reference: 37.

Definition:
- A subsidy is a payment by the government that reduces the cost of production for producers.
Effect on the market:
- A subsidy lowers the effective cost of production, encouraging greater supply.
Page reference: 39.

Subsidy action:
- Subsidy shifts the supply curve from S0 to S1 (to the right), reflecting increased willingness to supply at each price due to lower effective costs.
Total subsidy:
- The government outlays a total subsidy equal to the per-unit subsidy times quantity: \text{Total subsidy} = s \cdot Q^*
Price to consumers:
- With the subsidy, the price paid by consumers may fall to a new level (the exact change depends on elasticities and the incidence of the subsidy).
Page reference: 39.

Indirect taxes and subsidies affect market outcomes primarily through shifts in supply curves:
- Indirect tax (specific tax) causes an upward shift in supply by a fixed amount per unit.
- Indirect tax (ad valorem) causes a price-dependent shift that rises with the price level.
- Subsidies cause a rightward shift in supply by effectively reducing production costs.
Tax incidence depends on elasticities; the burden (who pays more of the tax) depends on the relative elasticities of supply and demand.
Policy considerations include efficiency losses (deadweight loss), tax revenue (or subsidy cost) magnitude, and distribution across consumers and producers.
Real-world relevance: Examples include GST on goods, excise taxes on cigarettes, and per-unit subsidies for certain industries, all of which alter production costs and market prices.

Price Elasticity of Demand (PED): PED = \frac{dQ_d}{dP} \cdot \frac{P}{Q}
Income Elasticity of Demand (YED): YED = \frac{dQ_d}{dI} \cdot \frac{I}{Q}
Cross-Price Elasticity of Demand (CED): CED = \frac{dQd^X}{dP^Y} \cdot \frac{P^Y}{Qd^X}
Indirect tax per unit (specific tax) amount: t\quad\Rightarrow\quad \text{Vertical shift between } S0 \text{ and } S1 \text{ equals } t
Ad valorem tax: tax per unit $t = r \cdot P$; consumers pay $P$, producers receive $P(1-r)$; higher $P$ implies higher tax revenue per unit.
Subsidy per unit: $s$; total subsidy expenditure: \text{Total subsidy} = s \cdot Q^*; producers receive $P + s$ per unit sold and the supply shifts right from $S0$ to $S1$.