Producer Theory

Lecture 15: Elasticity — Demand Recap & Supply Elasticity

Paulo Fagandini

2026

Recap: Lecture 3

Key Concepts from Last Class:

🧠 Rationality: Cost-benefit decision making

📈 Marginal Analysis: Decisions at the margin (MB vs MC)

💰 Opportunity Cost: Value of best alternative foregone

🚫 Sunk Costs: Ignore them in decisions!

🎯 Today: We build on opportunity cost to understand:

  • Production factors (inputs)
  • Production Possibilities Frontier (PPF)
  • Society-level trade-offs and efficiency

Production Factors

The Three Main Inputs 🏭

Production Factors

To produce goods and services, economies use three main factors: Land (natural resources), Labor (human effort), and Capital (produced goods used in production).

Land 🌿

  • Agricultural land
  • Minerals & energy
  • Water resources
  • Natural beauty
  • Climate

Tourism: Beaches, mountains, heritage sites

Labor 👥

  • Physical work
  • Mental work
  • Skills & training
  • Time & effort
  • Entrepreneurship

Tourism: Staff, guides, managers, chefs

Capital 🏢

  • Buildings
  • Machinery
  • Infrastructure
  • Technology
  • Equipment

Tourism: Hotels, planes, booking systems

Factor Payments 💸

Each factor receives compensation:

Factor Payment Name Example in Tourism
Land Rent Payment for beach concession, property lease
Labor Wages/Salaries Hotel staff wages, tour guide fees
Capital Interest Return on hotel investment, equipment loans
Entrepreneurship Profit Hotel owner’s profit, airline earnings

Tourism Production: Example 📊

Hypothetical illustration of factor intensity

💡 Insight: Cruise tourism is capital-intensive, cultural tours are labor-intensive, beach resorts balanced

Production Possibilities Frontier (PPF)

What is the PPF? 🗺️

Production Possibilities Frontier (PPF)

The PPF shows the maximum combinations of two goods an economy can produce given fixed resources, current technology, and full employment.

Key Insight 💡

With scarcity, producing more of one good requires producing less of another

This is opportunity cost visualized!

Simple PPF Example: Tourism 🏖️

Imagine an economy producing only:

  • Beach Tourism (hotels, resorts)
  • Cultural Tourism (museums, tours, heritage sites)

Interpreting the PPF 🔍

Point A (0, 100): All resources → cultural tourism, no beach tourism

Point E (100, 0): All resources → beach tourism, no cultural tourism

Point C (60, 40): Mixed economy, balanced allocation

Point U (40, 30): Inefficient — inside PPF

  • Resources unemployed or misallocated
  • Could produce more of both goods!

Point X (80, 80): Unattainable — outside PPF

  • Not enough resources with current technology
  • Would need economic growth

Moving Along the PPF ➡️

From B (30, 70) to C (60, 40):

Gain: 30 units of beach tourism

Loss: 30 units of cultural tourism

💰 Opportunity Cost: 30 cultural units

Key Point 🔑

  • Moving along PPF = reallocation of resources
  • All points on PPF are efficient (no waste)
  • But different distributions (different answers to WHAT question)
  • Trade-offs are unavoidable!

Bowed-Out PPF: Increasing Opportunity Cost 🔄

💡 Why bowed out? Resources aren’t perfectly adaptable — some resources are better suited for beach tourism, others for cultural tourism

Calculating Opportunity Cost on PPF :calculator:

Example: Moving from C to D

Point C: (40 beach, 92 cultural)

Point D: (60 beach, 80 cultural)

Change:

  • Gain: 20 beach units
  • Loss: 12 cultural units

Opportunity Cost:

\[OC = \frac{\text{Units Lost}}{\text{Units Gained}} = \frac{12}{20} = 0.6\]

👉 Each additional beach unit costs 0.6 cultural units

Compare: D to E

  • Gain: 20 beach (60→80)
  • Loss: 20 cultural (80→60)
  • OC = 20/20 = 1.0 (higher!)

💡 Opportunity cost increases as we specialize more

Economic Growth & PPF Shifts

Shifting the PPF Outward 🚀

Economic Growth

An outward shift of the PPF represents economic growth — the ability to produce more of both goods. Caused by: more resources, better technology, or improved productivity.

Three ways to shift PPF outward:

⬆️ More resources (population growth, discover new land)

💡 Better technology (innovation, improved processes)

📚 Human capital (education, training, skills)

PPF Shift Example 📈

Investment Trade-off: Present vs Future ⚖️

Key Economic Decision: Consumption today vs. Growth tomorrow

More Consumption Goods Today

Higher current standard of living

Immediate satisfaction

Less investment in capital

Slower future growth

More Capital Goods Today

Faster PPF outward shift

Higher future production

Lower current consumption

Sacrifice today for tomorrow

💡 Tourism Example: Build hotels now (consume less) → More capacity future → Higher tourism revenue later

Investment Trade-off Visualization 💰

Tourism Investment Example 🏨

👉 Strategic choice: Prioritize long-term growth (infrastructure, digital) despite lower immediate returns

Technological Change Example 💻

PPF Summary: Key Insights 📑

1️⃣ Shows maximum production given resources & technology

2️⃣ Points on PPF = efficient (can’t produce more without trade-off)

3️⃣ Points inside PPF = inefficient (unemployment, waste)

4️⃣ Points outside PPF = impossible (currently unattainable)

5️⃣ Moving along PPF = reallocating resources (opportunity cost)

6️⃣ Shifting PPF outward = economic growth (more resources, better technology)

7️⃣ Investment trade-off = consumption today vs. growth tomorrow

Real-World Applications 🌍

PPF thinking helps answer:

Should Portugal build more hotels or preserve more heritage sites?

How much should airlines invest in fuel efficiency vs. passenger comfort?

Trade-off between mass tourism revenue and sustainable tourism?

How much GDP to allocate to tourism vs. other sectors?

💡 All involve opportunity costs and efficiency considerations!

Complete Picture: Integration 🧩

Today’s Lecture Integration:

1️⃣ Production Factors (Land, Labor, Capital) are scarce inputs

2️⃣ Scarcity forces choices between alternatives

3️⃣ PPF visualizes society’s production possibilities

4️⃣ Opportunity Cost = moving along PPF (what’s foregone)

5️⃣ Efficiency = operating on (not inside) PPF

6️⃣ Economic Growth = PPF shifts outward

7️⃣ Investment today enables faster growth tomorrow

🔗 This connects to: Lecture 3 (opportunity cost), Lecture 2 (WHAT/HOW/FOR WHOM), Lecture 1 (scarcity & efficiency)

Exercises 📝

Application Time!

PPF and opportunity cost calculations.

Exercise 1: Multiple Choice

An economy is producing at a point INSIDE its PPF. This indicates:

A. The economy is efficiently using all resources

B. The economy has economic growth

C. There is unemployment or resource misallocation

D. It’s impossible to produce more of any good

Answer: C - Inside PPF means inefficiency — resources are unemployed or misallocated. Could produce more of at least one good without sacrificing the other (move toward frontier).

Exercise 2: Multiple Choice

A country’s PPF shifts outward. This could be caused by:

A. Higher unemployment

B. Decrease in the labor force

C. Technological innovation

D. Producing less capital goods

Answer: C - Outward PPF shift = economic growth. Caused by: more resources, better technology, improved productivity. Options A, B, D would shift PPF inward or cause movement inside PPF.

Exercise 3: Open Question - Setup

Scenario: The Portuguese Algarve region has limited land and labor. It can allocate resources between golf tourism and beach tourism. Current production possibilities:

Combination Golf Resorts Beach Hotels
A 0 50
B 5 48
C 10 44
D 15 38
E 20 30
F 25 0

Exercise 3: Questions

Questions:

  1. Draw the PPF with Golf Resorts on x-axis, Beach Hotels on y-axis

  2. Calculate the opportunity cost of moving from:

    • Point B to Point C
    • Point D to Point E
  3. Does the PPF exhibit increasing opportunity costs? Explain.

  4. If region currently operates at point U (12 golf, 30 beach), what does this indicate?

  5. A new tourism development technology is invented. How would this affect the PPF? Draw the new curve.

Exercise 3: Solution - Part a (PPF Graph)

a) The PPF shows all efficient combinations (points A-F) and the bowed-out shape indicating increasing opportunity costs.

Exercise 3: Solution - Part b

b) Opportunity Cost Calculations:

B → C (5 golf → 10 golf): \[\text{Gain in Golf} = 10 - 5 = 5 \text{ resorts}\] \[\text{Loss in Beach} = 48 - 44 = 4 \text{ hotels}\] \[\text{Opportunity Cost} = \frac{4 \text{ hotels}}{5 \text{ resorts}} = 0.8 \text{ beach hotels per golf resort}\]

Exercise 3: Solution - Part b continued

D → E (15 golf → 20 golf): \[\text{Gain in Golf} = 20 - 15 = 5 \text{ resorts}\] \[\text{Loss in Beach} = 38 - 30 = 8 \text{ hotels}\] \[\text{Opportunity Cost} = \frac{8 \text{ hotels}}{5 \text{ resorts}} = 1.6 \text{ beach hotels per golf resort}\]

Exercise 3: Solution - Part c & d

c) Increasing Opportunity Costs?

YES! Opportunity cost increases from 0.8 (B→C) to 1.6 (D→E).

Explanation: As more resources shift to golf, we use resources less suited for golf (originally better for beaches). Each additional golf resort requires sacrificing more beach hotels.

d) Point U (12 golf, 30 beach):

This is INSIDE the PPF (compare to point D: 15 golf, 38 beach).

Indicates:

  • Inefficiency (unemployment or resource misallocation)
  • Could produce more golf without reducing beach (move to D: 15 golf, 38 beach)
  • Could produce more beach without reducing golf

Exercise 3: Solution - Part e

e) New Technology Effect:

Technology shifts PPF OUTWARD (economic growth).

New PPF might be:

Combination Golf Resorts Beach Hotels
A’ 0 60 (+10)
C’ 12 55 (+11)
E’ 24 38 (+8)
F’ 30 0 (+5)

Effect: Can now produce MORE of both types of tourism with same resources!

Graph: Draw original PPF, then new PPF further from origin (parallel or biased depending on where technology applies).

Next Lecture 📚

February 19, 2026: Budget Set and Budget Constraint

💡 Preparation: Think about how you allocate your own limited budget across different goods!

Thank You! 👋

Questions?

📧 paulo.fagandini@ext.universidadeeuropeia.pt

Next class: Thursday, February 19, 2026