Firm Behavior

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🏪 The Lemonade Stand Story: How Businesses Make Money Decisions

Imagine you have a magical lemonade stand. Every decision you make determines whether you go home with coins jingling in your pocket or empty-handed. Let’s discover the secret rules that every successful business follows!


🍋 Chapter 1: Revenue Concepts — Counting Your Coins

What is Revenue?

Revenue is all the money that flows INTO your lemonade stand.

Think of it like this: Every time a customer hands you money for lemonade, that money is revenue. It’s the total pile of coins before you pay for lemons, sugar, or cups.

The Three Types of Revenue

1️⃣ Total Revenue (TR)

All the money you collect in a day.

Total Revenue = Price × Quantity Sold

Example:

  • You sell lemonade for $2 per cup
  • You sell 50 cups today
  • Total Revenue = $2 × 50 = $100

That’s your whole money pile!


2️⃣ Average Revenue (AR)

How much money you get per cup, on average.

Average Revenue = Total Revenue ÷ Quantity Sold

Example:

  • Total Revenue = $100
  • Cups sold = 50
  • Average Revenue = $100 ÷ 50 = $2 per cup

💡 Fun fact: Average Revenue usually equals your price!


3️⃣ Marginal Revenue (MR)

The EXTRA money from selling ONE MORE cup.

This is the most important one. It asks: “If I sell one more cup, how much extra money do I get?”

Marginal Revenue = Change in Total Revenue ÷ Change in Quantity

Example:

  • Selling 50 cups = $100
  • Selling 51 cups = $101
  • Marginal Revenue = ($101 - $100) ÷ (51 - 50) = $1

⚠️ Sometimes MR drops when you sell more. Why? You might need to lower your price to attract more customers!


📊 Revenue in Action

graph TD A[Customer Pays $2] --> B[Goes to Total Revenue] B --> C[TR grows with each sale] C --> D[AR = TR ÷ Quantity] C --> E[MR = Extra from 1 more sale]

💰 Chapter 2: Profit Concepts — What You Actually Keep

The Big Question: Revenue vs. Profit

Revenue is NOT profit!

Imagine you made $100 selling lemonade, but you spent $80 on lemons, sugar, cups, and ice. You don’t have $100 — you have $20.

🎯 Profit = Total Revenue - Total Costs


Types of Profit

1️⃣ Accounting Profit

What shows up in your piggy bank.

This is simple: Money In - Money Out.

Example:

  • Revenue: $100
  • Costs (lemons, sugar, cups): $60
  • Accounting Profit = $100 - $60 = $40

2️⃣ Economic Profit

The REAL test of whether your business is worth it.

Economic profit asks: “Could I have done something better with my time and money?”

Economic Profit = Revenue - Explicit Costs - Opportunity Costs

Example:

  • Revenue: $100
  • Explicit Costs (supplies): $60
  • Opportunity Cost (you could have earned $30 babysitting instead): $30
  • Economic Profit = $100 - $60 - $30 = $10

💡 If economic profit is zero, you’re doing exactly as well as your next-best option.


3️⃣ Normal Profit

When economic profit equals zero.

This sounds bad, but it’s not! It means you’re covering ALL costs (including what you could have earned elsewhere) and your business is sustainable.


📊 Profit Flow

graph TD A[Total Revenue $100] --> B[Minus Explicit Costs $60] B --> C[Accounting Profit $40] C --> D[Minus Opportunity Cost $30] D --> E[Economic Profit $10]

⚖️ Chapter 3: The Golden Rule — MR = MC

The Most Important Rule in Business

Stop selling when Marginal Revenue equals Marginal Cost.

This is the secret that every successful business owner knows!


What Does This Mean?

Marginal Cost (MC) = The extra cost to make ONE more cup of lemonade.

Marginal Revenue (MR) = The extra money from selling ONE more cup.

🎯 Keep making more if MR > MC. Stop when MR = MC.


The Lemonade Example

Cup # Extra Revenue (MR) Extra Cost (MC) Should You Make It?
1st $2.00 $0.50 ✅ YES! (+$1.50)
2nd $2.00 $0.60 ✅ YES! (+$1.40)
3rd $2.00 $0.80 ✅ YES! (+$1.20)
4th $2.00 $1.50 ✅ YES! (+$0.50)
5th $2.00 $2.00 ⚖️ STOP HERE
6th $2.00 $2.50 ❌ NO! (-$0.50)

The 5th cup is your magic number. After that, each cup costs more than it earns!


Why Does MC Rise?

Imagine squeezing lemons:

  • First few cups: Easy! You have fresh lemons.
  • Later cups: Harder! You’re tired, lemons are running low, you need to buy more at higher prices.

This is why costs go up as you make more.


📊 The MR = MC Sweet Spot

graph TD A[Make 1 cup] --> B{Is MR > MC?} B -->|Yes| C[Make it! You profit!] C --> D[Make another cup] D --> B B -->|No or Equal| E[STOP! Perfect quantity!]

🧠 Chapter 4: Firm Decision Rules — The Business Playbook

Decision 1: Should I Stay Open Today?

Compare Price to Average Variable Cost (AVC).

Variable costs are things that change with production (like lemons and sugar). Fixed costs stay the same (like your stand’s rent).

Situation What It Means Decision
Price > AVC Each sale covers its own cost ✅ Stay open
Price < AVC You lose money on every sale ❌ Shut down (for now)

Example:

  • Price per cup: $2.00
  • AVC (lemons, sugar per cup): $1.50
  • Since $2.00 > $1.50, stay open! You’re covering variable costs.

Decision 2: Should I Stay in Business Long-Term?

Compare Price to Average Total Cost (ATC).

Situation What It Means Decision
Price > ATC Making profit! ✅ Stay in business
Price = ATC Breaking even ⚖️ Normal profit
Price < ATC Losing money ❌ Consider exiting

Example:

  • Price: $2.00
  • ATC (all costs per cup): $2.50
  • You’re losing $0.50 per cup! Time to rethink.

Decision 3: How Much Should I Produce?

Use MR = MC!

Produce until the revenue from one more unit equals the cost of making it.


The Complete Decision Tree

graph TD A[Start: Should I produce?] --> B{Price vs AVC} B -->|Price < AVC| C[Don't produce today] B -->|Price ≥ AVC| D{Find MR = MC quantity} D --> E[Produce that amount] E --> F{Price vs ATC} F -->|Price > ATC| G[Making profit!] F -->|Price = ATC| H[Normal profit] F -->|Price < ATC| I[Short-term: keep going] I --> J[Long-term: consider exit]

🚀 Chapter 5: Profit Maximization — The Ultimate Goal

What Every Business Wants

Every lemonade stand (and every business!) wants to make the most profit possible. Here’s the complete strategy:


Step 1: Find Your Magic Quantity

Use MR = MC to find exactly how many cups to make.

Step 2: Check If You’re Making Profit

Calculate: Profit = (Price - ATC) × Quantity

Example:

  • Magic Quantity: 40 cups (where MR = MC)
  • Price: $2.00
  • ATC at 40 cups: $1.50
  • Profit = ($2.00 - $1.50) × 40 = $20

Step 3: Visualize Your Success

graph TD A[Find Q where MR = MC] --> B[Calculate Total Revenue] B --> C[Calculate Total Cost] C --> D[Profit = TR - TC] D --> E{Is Profit Positive?} E -->|Yes| F[You're winning!] E -->|No| G[Adjust or exit]

The Profit Maximization Formula

Step Formula What It Tells You
1 Find Q where MR = MC How much to produce
2 TR = P × Q Total money coming in
3 TC = ATC × Q Total money going out
4 Profit = TR - TC What you keep

Real Example: Your Lemonade Stand

Given:

  • Price: $2.00 per cup
  • MR = MC at 40 cups
  • At 40 cups: ATC = $1.50

Calculations:

  • TR = $2.00 × 40 = $80
  • TC = $1.50 × 40 = $60
  • Profit = $80 - $60 = $20 🎉

🎯 The Complete Picture

Summary Card

Concept Simple Definition Formula
Total Revenue All money coming in P × Q
Marginal Revenue Extra money from 1 more sale ΔTR ÷ ΔQ
Accounting Profit Money minus bills TR - Explicit Costs
Economic Profit Real profit after opportunities TR - All Costs
MR = MC Rule Where to stop producing Make until MR = MC
Shutdown Rule Stay open if… P ≥ AVC
Exit Rule Stay in business if… P ≥ ATC

🧙‍♂️ The Magic Words

Remember these three golden rules:

  1. Revenue = Money coming IN
  2. Profit = Money you KEEP (after costs)
  3. MR = MC = The perfect stopping point

💡 You now understand how every business in the world makes decisions. From your lemonade stand to giant companies — they all follow these same rules!

You’ve got this! Go maximize some profits! 🍋✨

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