Theory of Cost and Revenue

Grade 11 · Economics

Semester 2 | Period 5 | Week 29

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Subject: Economics

Semester: 2

Period: 5

Week: 29


School Name:

Teacher’s Name:

Subject: Economics

Grade Level: Grade 11

Week & Period: Week 29, Period V

Date:

Topic: Theory of Cost and Revenue
Sub-topic: Calculations of Cost and Revenue

Instructional Objectives

By the end of the lesson, learners should be able to:

  1. Use formulas to calculate total, average, and marginal cost and revenue.
  2. Solve simple numerical problems involving cost and revenue.
  3. Analyze business decisions based on cost and revenue figures.

 

Instructional Materials

  • Calculator (where available)
  • Whiteboard and marker
  • Chart of key cost and revenue formulas
  • Printed worksheets with word problems
  • Previously completed tables from Week 27

 

Previous Knowledge

Students have already plotted cost and revenue curves and are familiar with the formulas and components of cost and revenue tables.

A – Anticipation (Engagement/Warm-Up)

Motivational Set (5 minutes)
Begin with this business scenario:

“A soap maker sells each bar for $200. He pays $1,000 for ingredients per day and $3,000 for rent monthly. How can he know whether he’s making a profit or not?”

Ask students:

  • What is his fixed cost?
  • What is his variable cost?
  • What is his revenue if he sells 10 bars?

Let learners attempt mental calculations. Use this to transition into the lesson on practical calculations of cost and revenue.

 

B – Building Knowledge (Development)

Teacher’s Explanation (20 minutes)

  1. Important Formulas Recap
  • Total Cost (TC) = Fixed Cost (FC) + Variable Cost (VC)
  • Average Cost (AC) = TC ÷ Output
  • Marginal Cost (MC) = Change in TC ÷ Change in Output
  • Total Revenue (TR) = Price × Output
  • Average Revenue (AR) = TR ÷ Output
  • Marginal Revenue (MR) = Change in TR ÷ Change in Output
  • Profit = TR – TC

Write the formulas on the board and review with examples.

 

  1. Sample Problem Solving

Example 1:
A factory has a fixed cost of $500 and variable costs of $100 per unit. If 5 units are produced:

  • VC = 5 × 100 = $500
  • TC = FC + VC = 500 + 500 = $1,000
  • AC = TC ÷ 5 = $200
  • If price per unit is $250, TR = 5 × 250 = $1,250
  • Profit = TR – TC = $250

Example 2 (Marginal Cost):
If TC for 4 units is $800 and for 5 units is $1,000:

  • MC = (1000 – 800) ÷ (5 – 4) = $200

 

Class Activity (10 minutes)

Learners receive worksheets containing 3 business scenarios. Each group calculates:

  • TC, AC, MC
  • TR, AR, MR
  • Profit

Teacher moves around to assist and ensure formulas are being applied correctly.

 

C – Consolidation (Wrap-Up and Evaluation)

Teacher Summary (3 minutes)

  • Calculating cost and revenue allows businesses to monitor performance.
  • Marginal and average values are useful for setting production levels.
  • Profit is earned when revenue is greater than cost.

 

Assessment (7 minutes)

  1. Multiple Choice Questions
  2. What is the formula for calculating average cost?
    FC + VC
    B. TR ÷ Output
    C. TC ÷ Output
    D. MR × Output
  3. A firm sells each product at $300 and sells 4 units. What is the total revenue?
    $600
    B. $1,200
    C. $900
    D. $700
  4. A firm’s total cost rises from $1,000 to $1,300 when output increases from 5 to 6 units. What is marginal cost?
    $100
    B. $300
    C. $250
    D. $150

 

  1. Short-Answer Questions
  2. A factory has a fixed cost of $500 and a variable cost of $200 per unit. Calculate the total and average cost of producing 4 units.
  3. If a company earns $2,000 from selling 10 items, what is its average revenue?
  4. Given:
  • FC = $1,000
  • Output = 3 units
  • TR = $2,400
  • VC = $600
    Calculate:
    i. Total Cost
    ii. Profit
    iii. Marginal Revenue (assume previous TR was $1,800 for 2 units)

 

Assignment

An entrepreneur has a fixed cost of $800. He produces 5 units with a variable cost of $150 per unit.
Selling price per unit is $300.
i. Calculate:

  • Total Cost
  • Total Revenue
  • Average Cost
  • Average Revenue
  • Profit
    ii. State whether he should increase, reduce, or maintain output if his marginal cost rises to $280 while price remains constant at $300. Explain your answer.

 

Teacher’s Reflection (Questions Only)

  1. Were learners able to accurately apply the formulas during classwork without heavy prompting?
  2. Did students clearly understand the relationship between TC, VC, and FC?
  3. Were students confident in identifying the right formulas for each type of cost or revenue?
  4. Did learners make calculation errors due to misunderstanding or simple arithmetic mistakes?
  5. Did group discussions improve the speed and accuracy of learners’ responses?
  6. Were students able to interpret profit or loss outcomes from given data?
  7. Were the slower learners able to follow through with peer or teacher support?