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DSE Economics | Labour Market and Wage Determination: A Tutor Guide | MRP Before Minimum Wage

DSE Economics | Labour Market and Wage Determination: A Tutor Guide | MRP Before Minimum Wage

  • 2026-11-03

Students know wages come from supply and demand, then answer that a firm hires people by paying the wage, with no number attached. This lesson makes labour demand computable: marginal product times product price gives MRP, and hiring continues while MRP stays at or above the wage. At a wage of 80 the firm hires 3 workers; at a minimum wage of 100 it hires 2.

Objectives — Students can: (1) turn marginal products of 6, 5, 4, 3 and 2 at a price of 20 into MRP values of 120, 100, 80, 60 and 40; (2) read employment of 3 and a wage bill of 240 at a wage of 80; (3) read employment of 2, a bill of 200 and one displaced worker at a minimum wage of 100; (4) explain both the employment and the paybill effects; (5) compute 2.4 minutes per question and 0.833 marks per minute for 10 questions worth 20 marks in 24 minutes.

01 Prerequisites (3-minute check)

If any of these fails, fix it before the lesson starts.

Skill Quick check Pass mark
Marginal product The fifth worker adds 2 units of output. What is that called? Marginal product, here 2 units
Marginal revenue product Marginal product is 2 and the price is 20. What is MRP? 40 dollars, since MRP equals marginal product times price
Profit maximisation When does hiring stop? When MRP falls below the wage, because the next worker loses money
Minimum wage What happens if a minimum wage sits above equilibrium? Labour demand falls and surplus labour appears, which is unemployment

02 Lesson flow (45 minutes)

Time Stage Tutor does Student does
0-8 min Import it from the product market Write MRP equals marginal product times price and link it to marginal revenue Recognise derived demand
8-18 min Build the MRP table Multiply 6 down to 2 by 20 to get five values from 120 to 40 All five values correct
18-26 min Fix employment At a wage of 80, three workers have MRP at or above the wage The fourth is not hired
26-34 min Minimum wage At 100 only two qualify, so employment is 2 and the bill 200 One worker displaced
34-42 min Diagram and prose Draw a downward sloping labour demand curve with both wage lines Diagram matches the table
42-45 min Exit check Four oral answers with notes closed Employment and paybill both correct

03 Teaching script (read it out)

Scene 1: Labour demand is derived, not intrinsic

A firm hires because workers produce output that can be sold, so MRP equals marginal product times product price. When the product price falls, the whole labour demand curve shifts left and employment falls at any given wage. Say it until the student can supply an example such as falling flat prices reducing demand for renovation workers; otherwise the definition stays verbal.

Ask for an example where a change in product price shifts labour demand.

Scene 2: Hire while MRP is at or above the wage

At a wage of 80 the third worker has MRP exactly 80, so hiring adds nothing but loses nothing and the worker is taken on; the fourth has MRP 60, which earns 60 and costs 80, a loss of 20. Students often wait for equality and therefore stop one worker too early.

Ask why the fourth worker is not hired and how much the firm would lose.

Scene 3: A minimum wage has two layers of effect

First employment: a wage rise from 80 to 100 cuts hiring from 3 to 2 and leaves one worker unemployed. Second the paybill: 3 times 80 is 240 while 2 times 100 is 200, so the total falls by 40 even though the two retained workers each gain 20. Answers must give both layers, because employment alone is a partial answer.

Ask what the retained workers gain and what the displaced worker loses.

Scene 4: Elasticity decides how big the damage is

The less elastic labour demand is, the smaller the employment loss from a given minimum wage, and the paybill can even rise. Here MRP drops from 120 to 40, which is fairly elastic, so the paybill falls. Teach it by comparing a steep and a flat curve shifted by the same amount rather than by reciting a conclusion.

Ask whether a steeper MRP curve would raise or lower the job loss.

04 Question types and worked steps

Type Example Steps Answer
Compute MRP Marginal product and price given Multiply each by the price, tabulate, label dollars Not the same as marginal product
Fix employment Wage and MRP table given Take the largest number of workers whose MRP is at or above the wage, then explain the next one Equality still counts
Minimum wage effect New wage given Reset employment, recompute the paybill, count displaced workers Both layers required
Curve shifts Product price or productivity change Decide the shift direction, then the wage and employment change, and separate a shift from a movement A price change shifts the curve
Sanity check (teach this): Order check: 6 times 20 is 120 and 2 times 20 is 40, so the five values must fall; any rise in the middle means a multiplication slip. Hiring check: at a wage of 80 exactly three values qualify at 120, 100 and 80, so an answer of 4 ignores that 60 is below the wage. Paybill check: 3 times 80 is 240 and 2 times 100 is 200, so a rising paybill after a minimum wage means employment was never adjusted.

05 Independent practice (3 questions)

Question Answer What to watch
Marginal product 4 at a price of 20, what is MRP 80 dollars Price multiplied in
How many workers are hired at a wage of 80 3 workers The equal case counted
Paybill at a minimum wage of 100 200 dollars Not 3 times 100

06 Common mistakes and what to say

Mistake Student writes Say this
Reporting marginal product as MRP “Marginal product is 4, so MRP is 4.” “4 is units of output. Multiply by the price of 20 and MRP is 80 dollars, because labour demand is measured in money.”
Dropping the worker whose MRP equals the wage “At a wage of 80 an MRP of 80 earns nothing, so hire 2.” “Equal still counts, because nothing is lost. Hiring runs until MRP falls below the wage, so it is 3.”
Answering only unemployment “A minimum wage raises unemployment.” “Two layers: hiring falls from 3 to 2, losing one job, and the paybill falls from 240 to 200 while the two retained workers each gain 20.”
Calling a curve shift a movement along “Product price falls, so workers accept lower wages and we move down the curve.” “A lower product price lowers MRP, which shifts the whole labour demand curve left, so employment falls at the same wage.”

07 Homework (paper, section and question numbers)

08 Exit check (last 5 minutes)

Question Answer Decision
Marginal product 5 at a price of 20, MRP 100 dollars Error: answered 5
Wage 80, how many hired 3 workers Error: dropped the equal case
Minimum wage 100, how many unemployed 1 worker Error: answered 2 or 0
Paybill before and after 240 falls to 200 Error: employment ignored

09 Tutor FAQ

Why does labour demand slope downward?

Diminishing returns: more workers share the same machines and space, so marginal product falls and MRP with it, which means only a lower wage justifies more hiring.

Is a minimum wage always harmful?

No. If labour demand is inelastic, employment barely moves while retained workers earn more, so the paybill can rise. This example shows job loss because MRP falls steeply from 120 to 40.

Must the term MRP be memorised?

Recognise the abbreviation and its two parts, because questions use it directly. Writing marginal product times product price is safer than the letters alone.

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