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Capital and Political Economy · Module 5

Constant Capital, Surplus Value, and the Working Day

Module 5 of Capital and Political Economy: distinguish constant and variable capital, calculate the rate of surplus value, and analyze the working day as a contested relation.

Time
About 90 minutes
Activities
Read, retrieve, compare, apply
Concepts
Constant and variable capital, surplus labor, and the working day
Learning state

Completion and recall are different.

Completion records what you finished. Recall records what you attempted from memory and when it should return for review.

Pathway completion
0 of 14 steps
Checkpoints rated
0 of 2
Next review
Not scheduled
Purpose

By the end of this lesson, you should be able to:

  • Explain why Marx calls means of production constant capital and labor power variable capital.
  • Calculate the rate of surplus value without confusing it with the rate of profit.
  • Analyze the working day's length and intensity as outcomes of class struggle and regulation.
Start from memory · 3 minutes

Commit to a first explanation.

A firm spends $800 on equipment and materials and $200 on wages. Which expenditure can add new value rather than transfer existing value? Explain your guess.

Scoped reading · 44 minutes

Follow the causal sequence.

Capital, Volume I

Chapters 8–10: Constant Capital, the Rate of Surplus Value, and the Working Day

Karl Marx

Open the reading

Read with a scope

Read Chapters 8–10. Keep c, v, and s separate in every example, then mark each point where law, organization, custom, or resistance affects the working day.

Keep one question in view: Why is the boundary between necessary and surplus labor a social struggle rather than a fact fixed by the employment contract?

Closed-book retrieval · 7 minutes

Explain the method without the source.

Close the source. Distinguish constant from variable capital and explain why the rate of surplus value is s/v rather than s divided by total capital.

How confident are you?
Worked example · 8 minutes

Watch the analytical operation.

In a ten-hour shift, five hours reproduce the daily value of labor power; the exploitation rate is therefore 50%.
  1. Divide the working day

    Five hours are necessary labor, leaving five hours as surplus labor.

  2. Form the correct ratio

    The rate of surplus value is surplus labor divided by necessary labor: 5/5.

  3. Calculate the result

    The rate is 100%, not the surplus portion's 50% share of the total day.

  4. Avoid a price shortcut

    The calculation requires a value relation; observed wages, sales, and accounting profit do not reveal it directly.

  5. Identify the conflict

    Extending the shift to twelve hours while necessary labor remains five raises surplus labor to seven and the rate to 140%.

Guided practice · 6 minutes

Complete the missing steps.

The opening steps are supplied. Finish the analysis in your own words, then compare your reasoning before trying the independent case.

A hypothetical print shop transfers 600 value units from inputs, advances 150 for labor power, and produces 150 of surplus; its rate of surplus value is 20%.
  1. Keep the components separate

    Treat the stated figures as value magnitudes: c = 600, v = 150, and s = 150. The finished output contains 900 value units.

  2. Identify new value

    Living labor adds 300 units: 150 replace the labor-power advance and 150 form surplus. The 600 units from inputs are transferred value.

Complete all 3 steps and choose your confidence to reveal feedback. This guided practice stays separate from your two independent checkpoint ratings.

Calculate the rate of surplus value and explain what the claimed 20% instead compares.

Why call the consumed press value constant when the press is essential to making useful books?

Would the wage agreement alone fix how long or intensely this workforce can work? Identify a limit to investigate.

How confident are you in these steps?

Continue to independent application →

Independent application · 10 minutes

Apply the structure to a new case.

A distribution center adds mandatory overtime during peak season while keeping hourly productivity approximately constant. Analyze the change and identify what evidence would show its limits.

How confident are you?
Finish the learning cycle

Rate both checkpoints, then record this pathway step.

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