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AP Microeconomics Notes

5.4.2 Why MFC Is Greater Than the Wage

AP Syllabus focus: ‘When a monopsonist hires another worker, marginal factor cost exceeds the wage paid to that new worker.’

A monopsonist in a labour market faces an upward-sloping labour supply curve. Because wages must rise to attract additional workers, the extra cost of hiring one more worker typically exceeds that worker’s wage.

Core idea: wage vs marginal factor cost under monopsony

What the wage represents

In labour markets, the wage is the per-worker (or per-hour) payment the firm must offer to employ a given quantity of labour. For a monopsonist, the wage is not “given” by the market; it depends on how many workers the firm chooses to hire.

What marginal factor cost measures

Marginal factor cost (MFC): The additional cost to the firm of hiring one more unit of an input (here, one more worker), including any wage increases required to obtain that extra worker.

The key distinction is that MFC is the change in total labour cost, not merely the wage of the last worker.

Why an upward-sloping labour supply makes MFC exceed the wage

The monopsonist must “bid up” wages to expand employment

Because the firm is large relative to the local labour market, it effectively faces the market labour supply curve. If that supply curve slopes upward, then:

  • To hire more workers, the firm must offer a higher wage.

  • That higher wage is typically the wage the firm must pay for the new employment level.

The firm’s total wage bill rises for more than one reason

When employment increases from LL to L+1L+1, total labour cost rises because:

  • The firm pays the new worker the higher wage.

  • The firm often must also pay the higher wage on existing workers (or on many of them), depending on how wages are set within the market/firm.

This is why the specification statement holds: the marginal factor cost of the additional worker exceeds the wage paid to that new worker.

Formalising the relationship between wage and MFC

Thinking in terms of total labour cost helps separate “price per worker” from “extra cost of expanding employment.” Let the wage be a function of employment, w(L)w(L).

TLC(L)=w(L)LTLC(L)=w(L)\cdot L

TLC(L)TLC(L) = total labour cost (dollars per period)

w(L)w(L) = wage as a function of employment (dollars per worker)

LL = quantity of labour (workers)

MFC(L)=ΔTLCΔLMFC(L)=\frac{\Delta TLC}{\Delta L}

MFC(L)MFC(L) = marginal factor cost of labour (dollars per additional worker)

MFC(L)=w(L)+LdwdLMFC(L)=w(L)+L\cdot\frac{dw}{dL}

dwdL\frac{dw}{dL} = slope of the labour supply curve facing the firm (dollars per additional worker)

Because an upward-sloping supply implies dwdL>0\frac{dw}{dL}>0, the term LdwdLL\cdot\frac{dw}{dL} is positive, so MFC(L)>w(L)MFC(L)>w(L) for a monopsonist hiring on an upward-sloping labour supply curve.

Pasted image

This monopsony equilibrium graph plots the labor supply curve SS (the wage schedule), the marginal factor cost curve MFCMFC above it, and the marginal revenue product curve MRPMRP downward sloping. The firm hires where MRP=MFCMRP=MFC (at LmL_m), but the wage it pays is the amount required to attract LmL_m workers, read from the supply curve as WmW_m. The visual makes clear why the marginal cost of the last hire exceeds that worker’s wage when labor supply is upward sloping. Source

Interpreting the MFC curve relative to the labour supply curve

Labour supply as the “wage” (average factor cost) curve

The labour supply curve to the firm shows the wage required to employ each quantity of labour. In this context it is also the firm’s average factor cost of labour: total labour cost per worker at that employment level.

Average factor cost (AFC): Total spending on an input divided by the quantity of the input employed; in labour markets, AFCAFC is the wage at that employment level.

Why MFC lies above labour supply

For each additional worker, the monopsonist must move up the labour supply curve to a higher wage. Therefore:

  • The wage for the marginal worker is the new per-worker rate, w(L)w(L).

  • The MFC includes that wage plus the added cost created by raising the wage to reach LL.

As a result:

  • MFC is steeper and higher than the labour supply (wage/AFC) curve whenever labour supply is upward sloping.

Pasted image

This diagram shows an upward-sloping labor supply curve (the wage/average factor cost) and a steeper marginal cost of labor curve (MCLMC_L, i.e., MFC) positioned above it. The vertical gap emphasizes that when the firm expands employment, it must raise the wage for more than just the marginal worker, so MFC>wMFC>w. It also depicts monopsony hiring where labor demand intersects MCLMC_L, with the wage then read from the supply curve at that quantity. Source

When might MFC not exceed the wage?

The “MFC greater than wage” result depends on the firm facing an upward-sloping supply and having to raise the wage to expand employment. Conceptually:

  • If labour supply were perfectly elastic to the firm (a flat supply curve), then dwdL=0\frac{dw}{dL}=0 and MFC=wMFC=w.

  • If wage-setting practices allowed the firm to pay different wages to identical workers without needing to raise pay for others, the gap between MFC and the new worker’s wage could be smaller; the core monopsony case assumes a single wage associated with each employment level.

Common AP-level interpretations to keep straight

  • Wage: the per-worker payment at a given employment level (read from labour supply).

  • MFC: the marginal (extra) cost of increasing employment by one worker; under monopsony, it reflects the upward pressure on wages required to attract more labour.

  • The statement “MFC exceeds the wage paid to the new worker” is about incremental total cost, not about paying the last worker more than the posted wage.

FAQ

Not always in every real-world pay-setting system, but it is the standard AP monopsony assumption: a single wage corresponds to each employment level.

If wages can differ across otherwise similar workers (for example, via individual bargaining), the firm’s incremental cost may not fully “spill over” to all current workers.

The gap depends on the slope $\frac{dw}{dL}$.

  • Steeper labour supply (less elastic) means a larger $\frac{dw}{dL}$

  • A larger $\frac{dw}{dL}$ makes $L\cdot\frac{dw}{dL}$ bigger, increasing the wedge between $MFC$ and $w$

In the basic monopsony model, yes. The labour supply curve gives the wage needed for each employment level, and that wage is the per-worker cost at that level, so it corresponds to average factor cost.

This equivalence is a modelling convenience that links “wage” and “per-unit input price” directly.

Under a typical upward-sloping labour supply curve, $MFC$ rises with employment. A falling $MFC$ would require an unusual case where the effective wage required to hire additional workers declines over some range (a downward-sloping segment of labour supply), which is atypical for this model.

Features that reduce worker mobility or limit competing employers can steepen the labour supply facing a firm, such as:

  • High commuting or relocation costs

  • Non-compete clauses or occupational licensing barriers

  • A dominant local employer (company town dynamics)

  • Limited information about vacancies and wages

Practice Questions

Question 1 (2 marks) Explain why a monopsonist’s marginal factor cost of labour is greater than the wage when the labour supply curve facing the firm slopes upward.

  • 1 mark: States that to hire more labour the monopsonist must raise the wage because it faces an upward-sloping labour supply curve.

  • 1 mark: Explains that raising the wage increases total labour cost by more than just the wage of the extra worker, so MFC>wMFC>w.

Question 2 (6 marks) A firm is the sole major employer in a local labour market and faces an upward-sloping labour supply curve. Using economic reasoning, explain the relationship between the labour supply curve, the wage, and the firm’s marginal factor cost of labour, and why the marginal factor cost curve lies above the labour supply curve.

  • 1 mark: Identifies the labour supply curve to the firm as showing the wage required to employ each quantity of labour.

  • 1 mark: Defines or correctly describes marginal factor cost as the extra cost of hiring one more worker (change in total labour cost).

  • 2 marks: Explains that to increase employment the firm must offer a higher wage, and that this higher wage applies to the employment level (not only the marginal worker), increasing the wage bill more broadly.

  • 1 mark: Links this to MFC>wMFC>w (e.g., due to the positive slope of labour supply, dwdL>0\frac{dw}{dL}>0).

  • 1 mark: Concludes that therefore the MFCMFC curve lies above (and is steeper than) the labour supply (wage/AFC) curve when supply slopes upward.

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