Labour Markets and Wage Determination: Economics 9708 (Cambridge International AS & A Level)

Syllabus 8.3 · Strand 3 Government Microeconomic Intervention

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10
Total marks
90
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10 Core

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  • 8.3 10 questions

Labour is unlike most goods because it is a derived demand. Firms do not want workers for their own sake, but for the output and revenue they generate. This is formalised as marginal revenue product, MRP=MPP×MRMRP = MPP \times MR, where MPPMPP is the extra output produced by one more worker and MRMR is the extra revenue from selling it; a profit-maximising firm hires workers up to the point where the wage equals MRPMRP, so the MRPMRP curve is the firm’s demand curve for labour.

In a perfectly competitive labour market, the equilibrium wage and level of employment are set where this demand meets the supply of labour to the market. Real labour markets are rarely this tidy: trade unions can push the wage above the competitive rate, a national minimum wage can create unemployment if set above equilibrium, and a monopsony employer (a single, dominant buyer of labour) can restrict both the wage and employment below the competitive level. Wage differentials between occupations also reflect transfer earnings (the minimum needed to keep a worker in their current use) and economic rent (payment above that minimum).

The exam-style problems below are original, with full worked solutions.

Question 1

Multiple choice A2 1 mark

Silver Oak Hospital employs nurses and pays them an hourly wage. Which of the following would cause a movement along the supply curve of labour for nurses at Silver Oak Hospital, rather than a shift of the supply curve?

Question 2

Structured A2 11 marks

Bramble Furniture Co. makes wooden chairs. It sells every chair it produces for a constant price of $60 in a perfectly competitive product market, and it can hire as many workers as it wants at the going wage rate in a perfectly competitive labour market. The table below shows the firm's total product (chairs produced per week) as it employs more workers.

Workers employed Total product (chairs per week)
0 0
1 20
2 38
3 54
4 68
5 80
6 90
7 98

(a) Calculate the marginal physical product (MPP) and the marginal revenue product (MRP) of labour for the 1st to the 7th worker. [4]

(b) Explain why the firm's MRP curve for labour is the same as its demand curve for labour. [2]

(c) The market wage rate for this type of worker is $700 per week. Using your answers to (a), determine the profit-maximising number of workers Bramble Furniture should employ, explaining your reasoning. [3]

(d) Suppose the price of chairs rises from $60 to $75, with the total product schedule unchanged. State and explain the effect of this price rise on Bramble Furniture's demand for labour, distinguishing your answer from a movement along the demand curve. [2]

Question 3

Structured A2 11 marks

In the city of Larkspur, the market for food-delivery riders can be treated as perfectly competitive: many small delivery firms compete to hire riders, and many people are able to work as riders. Over the relevant range, the demand for and supply of delivery riders are given by:

Qd=90030WQ_d = 900 - 30W Qs=200+20WQ_s = 200 + 20W

where QQ is the number of riders demanded or supplied per week and WW is the wage rate in dollars per hour.

(a) Calculate the equilibrium wage rate and the equilibrium number of riders employed in this competitive labour market. [3]

(b) A newly formed riders' union persuades delivery firms to agree to a minimum wage of $18 per hour for all union members, above the equilibrium wage found in (a). Calculate the quantity of labour demanded and the quantity of labour supplied at this wage, and hence the number of riders unable to find work at $18 per hour. [4]

(c) Explain, using your answers to (a) and (b), the effect of the union's action on the wage rate and level of employment of delivery riders in Larkspur. [3]

(d) State one reason why a trade union may be able to negotiate a wage above the competitive equilibrium level for its members. [1]

Question 4

Structured A2 12 marks

Northfield Logistics is the only significant employer of warehouse packers in the small town of Northfield, making it a monopsony employer of this type of labour. To attract more packers, it must raise the wage rate paid to all its packers, not just the newest recruit. The table below shows the wage rate (per hour) Northfield Logistics must pay to attract each level of employment, together with the marginal revenue product (MRP) of labour, both in dollars per hour.

Packers employed Wage rate paid ($/hour) Marginal revenue product, MRP ($/hour)
1 10 34
2 12 30
3 14 26
4 16 22
5 18 18
6 20 14

(a) Calculate the total cost of labour and the marginal cost of labour (MCL) when Northfield Logistics employs 4 packers and when it employs 5 packers. [3]

(b) Using your answer to (a) and the pattern this reveals across the table, determine the number of packers Northfield Logistics will employ to maximise profit, and the wage rate it will pay them. Explain your reasoning. [4]

(c) Explain why the wage Northfield Logistics pays is less than the marginal revenue product of the last packer it employs. [2]

(d) State the number of packers that would be employed, and the wage that would be paid, if this labour market were instead perfectly competitive. Briefly explain why monopsony power results in both lower employment and a lower wage than in a competitive labour market. [3]

Question 5

Structured A2 12 marks

In the country of Solandra, a professional airline pilot earns a far higher wage than a supermarket checkout assistant, even though supermarkets as a whole employ many more workers than airlines do. The government of Solandra is separately considering raising the national minimum wage paid to checkout assistants to well above its current level.

(a) Distinguish between transfer earnings and economic rent, and explain, with reference to how easily someone can enter each occupation, why economic rent is likely to make up a much larger proportion of a pilot's wage than of a checkout assistant's wage. [5]

(b) Discuss the extent to which raising the national minimum wage for checkout assistants above its current level is likely to reduce the number of checkout assistants employed in Solandra. [7]

Question 6

Multiple choice A2 1 mark

A bakery employs bakers only because customers want to buy bread; if demand for bread fell to zero, the bakery would need no bakers at all. Which of the following best explains why economists describe the demand for labour, such as the bakery's demand for bakers, as a derived demand?

Question 7

Structured A2 9 marks

Meadowvale Veterinary Group employs qualified veterinary nurses across a rural region. Following a national pay review, the average hourly wage for veterinary nurses in the region rose from $16 to $20 per hour. In response, the number of people willing to work as veterinary nurses in the region rose from 800 to 880 per week.

(a) Calculate the percentage change in the wage rate and the percentage change in the quantity of labour supplied. [2]

(b) Calculate the wage elasticity of supply of labour for veterinary nurses in this region, and state whether the supply of labour is wage-elastic or wage-inelastic. [3]

(c) Explain one reason why the supply of labour to the veterinary nursing profession might be wage-inelastic in the short run. [2]

(d) State and explain one factor, other than a change in the wage rate itself, that could shift the supply curve of labour for veterinary nurses in this region. [2]

Question 8

Structured A2 9 marks

SunBright Solar installs rooftop solar panels and hires installer-hours in a perfectly competitive local labour market. The table below shows the quantity of installer-hours demanded per week and the quantity of installer-hours supplied per week at different wage rates, both before and after SunBright introduces a new mounting-rail tool that lets each installer complete more installations per hour.

Wage rate ($ per hour) QdQ_d before new tool (installer-hours/week) QdQ_d after new tool (installer-hours/week) QsQ_s (installer-hours/week)
10 800 1100 500
12 760 1060 560
14 720 1020 620
16 680 980 680
18 640 940 740
20 600 900 800
22 560 860 860

(a) Using the table, state the equilibrium wage rate and quantity of installer-hours employed per week before the new tool is introduced. [2]

(b) The new mounting-rail tool raises each installer's marginal physical product, and therefore the marginal revenue product of labour, at every wage rate, shown in the "after new tool" column. Using the table, state the new equilibrium wage rate and quantity of installer-hours employed after the tool is introduced. [2]

(c) Explain why the change identified in (b) is a shift of the demand curve for labour, rather than a movement along it. [3]

(d) Calculate the percentage change in the equilibrium wage rate caused by the introduction of the new tool. [2]

Question 9

Structured A2 12 marks

Solent Ferry Co. is the only significant employer of deckhands in a small coastal town, making it a monopsony employer of this type of labour. To attract more deckhands, it must raise the wage rate paid to all its deckhands, not just the newest recruit. The table below shows the wage rate it must pay to attract each level of employment, together with the marginal revenue product (MRP) of labour, both in dollars per hour.

Deckhands employed Wage rate paid ($/hour) Marginal revenue product, MRP ($/hour)
1 15 70
2 18 50
3 21 32
4 24 31
5 27 30

(a) Calculate the total cost of labour and the marginal cost of labour (MCL) for the 3rd and the 4th deckhand. [3]

(b) Determine the number of deckhands Solent Ferry Co. will employ to maximise profit as an unconstrained monopsonist, and the wage rate it will pay them, explaining your reasoning. [3]

(c) The dockworkers' union then negotiates a legally binding minimum wage of $24 per hour for all deckhands. Explain why the marginal cost of hiring the 2nd, 3rd and 4th deckhand becomes exactly $24 once this minimum wage applies, and hence determine the number of deckhands Solent Ferry Co. will now employ. [3]

(d) State the wage rate and level of employment once the $24 minimum wage applies, and explain why this outcome shows that a minimum wage imposed on a monopsony employer, unlike one imposed on a competitive employer, can raise both the wage and the level of employment together. [3]

Question 10

Structured A2 12 marks

Harbourline Terminals is a container port operating in what is currently a competitive labour market for crane operators. Many port operators compete to hire similarly skilled crane operators, and the going wage is set by the ordinary forces of demand and supply. The Register of Crane Operators (RCO), a trade union, is negotiating on behalf of Harbourline's crane operators to raise their wage above this competitive level.

(a) Explain how the RCO could raise the wage of crane operators above the competitive equilibrium level by restricting the supply of labour into the occupation, for example through a closed shop agreement or by controlling the number of training places available. [4]

(b) Discuss the factors that will determine how far employment of crane operators at Harbourline falls as a result of the wage rise negotiated by the RCO. [8]