Microeconomics Chapter 14

Chapter 14: The Costs of Production

Introduction

  • Focus of Chapter: Understanding production costs in economic theory.

  • Key Definitions:

    • Production Function: Describes the relationship between inputs and the quantity of output produced.

    • Marginal Product: Increase in output attributed to an additional unit of input.

Main Concepts in Production Costs

  • Importance of understanding various types of costs and their relationships to output.

  • Differences between short-run and long-run costs.

  • Overview of:

    • Economies of scale

    • Diseconomies of scale

    • Constant returns to scale

Total Revenue, Total Cost, and Profit

  • Firm's Goal: Maximize profit.

  • Key Formulas:

    • Total Revenue (TR): TR = P imes Q (Price multiplied by Quantity sold)

    • Total Cost (TC): Market value of inputs used in production.

    • Profit: Profit = TR - TC

Example 1A: Jelani’s Gelato Shop
  • Produces: 15,000 pints at $5 each.

  • Total Costs: $65,000.

  • Calculations:

    • Total Revenue: TR = 5 imes 15,000 = 75,000

    • Profit: Profit = 75,000 - 65,000 = 10,000

Opportunity Costs

  • Definition: The cost of something is what you give up to obtain it.

  • Explicit Costs: Out-of-pocket expenses, e.g., wages to workers.

  • Implicit Costs: Non-monetary opportunity costs, e.g., time spent working instead of pursuing another job.

  • Total Costs: Sum of explicit and implicit costs.

Example 1B: Costs for Jelani’s Gelato Shop
  • Explicit Costs: Raw materials ($20,000) + Rent ($12,000) = $32,000.

  • Implicit Cost: Opportunity cost of owner's time ($25,000).

  • Total Costs: 32,000 + 25,000 = 57,000

Example 1C: The Cost of Capital for Jelani
  • Investment: $80,000 for factory/equipment (withdrawn $30,000 from savings, borrowed $50,000 at 10% interest).

  • Explicit Cost: Interest on borrowed money = 0.10 imes 50,000 = 5,000 .

  • Implicit Cost: Interest lost on savings = 0.10 imes 30,000 = 3,000 .

  • Total Capital Cost: $8,000.

Economic vs. Accounting Profit

  • Accounting Profit: Total Revenue - Total Explicit Costs

  • Economic Profit: Total Revenue - Total Costs (Explicit + Implicit)

  • Important Note: Accounting profit will always be greater than economic profit due to the exclusion of implicit costs in the accounting profit.

Economists vs. Accountants Diagram
  • Economists consider both implicit and explicit costs. Accountants consider only explicit costs. This results in economic profit being less than accounting profit.

Active Learning 2: Impact of Increased Rent

  • Scenario: Rent increases by $500/month.

  • Accounting Profit Impact: No change (explicit costs unchanged).

  • Economic Profit Impact: Falls by $500/month (implicit costs increase).

Production and Costs Concepts

  • Production in the Short Run:

    • Fixed factory size; increasing output requires hiring more workers.

  • Production Function: Relationship between quantity of inputs and output.

    • Gets flatter as input increases.

Example 2A: Xavier’s Popcorn Truck
  • Truck as fixed resource.

  • Production Variance with Workers:

    • 1 worker produces 30 buckets.

    • 2 to 5 workers yield 55, 75, 90, and 100 buckets respectively.

Marginal Product of Labor (MPL)
  • Definition: Increase in output from an additional unit of input while keeping other inputs constant.

  • MPL Formula: MPL = rac{ riangle Q}{ riangle L}

  • Example Calculation: If 1 more worker is hired, output rises by the MPL.

Diminishing Marginal Product

  • Concept: Marginal product declines as more units of input are added.

  • Production function flattens (slope diminishes) as more inputs are used.

  • Rational decision-making involves thinking at the margin; hiring one extra worker increases costs by the wage paid.

Active Learning 2: Diminishing MPL Questions

  • Q1: What is MPL of the second worker? Answer: 40.

  • Q2: MPL of the fourth worker? Answer: 20.

  • Does the production function exhibit diminishing returns? Answer: Yes.

Example 2C: Costs for Xavier’s Truck

  • Daily fixed cost of the truck: $200.

  • Market wage per worker: $50/day.

Example 2D: Xavier’s Total Cost Curve
  • Total cost calculated at varying levels of output.

Total Cost Measures

  • Total Cost (TC): TC = FC + VC

  • Fixed Costs (FC): Do not vary with quantity produced.

  • Variable Costs (VC): Vary with quantity produced.

Example 3: Angel’s Knitted Scarves Business
  • Producing scarves, different costs associated with output values.

Average and Marginal Cost Formulas
  • Average Fixed Cost (AFC): AFC = rac{FC}{Q}

  • Average Variable Cost (AVC): AVC = rac{VC}{Q}

  • Average Total Cost (ATC): ATC = rac{TC}{Q} = AFC + AVC

  • Marginal Cost (MC): MC = rac{ riangle TC}{ riangle Q}

Example 3B: Angel’s Average and Marginal Cost Outcomes
  • Different cost calculations for each quantity of output produced.

Long-Run vs Short-Run Costs

  • Short Run (SR): Fixed inputs, costs include fixed costs.

  • Long Run (LR): All inputs variable, costs change based on production levels.

Long-Run Average Total Cost (LRAC) Curve
  • Reflects firm’s ability to change factory size in long-run versus fixed costs in short-run.

Economies and Diseconomies of Scale

  • Economies of Scale: Average total cost decreases as quantity increases.

  • Constant Returns to Scale: Average total cost remains constant as quantity increases.

  • Diseconomies of Scale: Average total cost increases as quantity increases, often due to coordination problems as firms grow larger.

Conclusion

  • The chapter emphasizes the significance of costs in firm operation, production efficiency, and profit maximization.

  • Understanding marginal costs, average costs, and the effects of scale is critical for effective decision-making in economics.