The profit of two business concerns for 5 years are as given below. Draw Lorenz Curves to show the distribution.

Year 2001 2002 2003 2004 2005

Firm A 15 30 45 60 50

Firm B 20 30 45 60 45

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Solution

Years Firm A Cumulative Profits of Firm A Cumulative Percentage Profits of Firm A
(x) Firm B Cumulative Profits of Firm B Cumulative Percentage Profits of Firm B
(y) Coordinates of Lorenz Curve
(x,y)

2001 15 15 $\frac{15}{200} \times 100 = 7.5$ 20 20 $\frac{20}{200} \times 100 = 10$ (7.5,10)

2002 30 45 $\frac{45}{200} \times 100 = 22.5$ 30 50 $\frac{50}{200} \times 100 = 25$ (22.5, 25)

2003 45 90 $\frac{90}{200} \times 100 = 45$ 45 95 $\frac{95}{200} \times 100 = 47.5$ (45, 47.5)

2004 60 150 $\frac{150}{200} \times 100 = 75$ 60 155 $\frac{155}{200} \times 100 = 77.5$ (75,77.5)

2005 50 200 $\frac{200}{200} \times 100 = 100$ 45 200 $\frac{200}{200} \times 100 = 100$ (100,100)

$Σ N_{1}$ =200 $Σ N_{2}$ =200

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Years	Firm A	Cumulative Profits of Firm A	Cumulative Percentage Profits of Firm A (x)	Firm B	Cumulative Profits of Firm B	Cumulative Percentage Profits of Firm B (y)	Coordinates of Lorenz Curve (x,y)
2001	15	15	$\frac{15}{200} \times 100 = 7.5$	20	20	$\frac{20}{200} \times 100 = 10$	(7.5,10)
2002	30	45	$\frac{45}{200} \times 100 = 22.5$	30	50	$\frac{50}{200} \times 100 = 25$	(22.5, 25)
2003	45	90	$\frac{90}{200} \times 100 = 45$	45	95	$\frac{95}{200} \times 100 = 47.5$	(45, 47.5)
2004	60	150	$\frac{150}{200} \times 100 = 75$	60	155	$\frac{155}{200} \times 100 = 77.5$	(75,77.5)
2005	50	200	$\frac{200}{200} \times 100 = 100$	45	200	$\frac{200}{200} \times 100 = 100$	(100,100)
	$Σ N_{1}$ =200			$Σ N_{2}$ =200

The profit of two business concerns for 5 years are as given below. Draw Lorenz Curves to show the distribution. Year 2001 2002 2003 2004 2005 Firm A 15 30 45 60 50 Firm B 20 30 45 60 45

The profit of two business concerns for 5 years are as given below. Draw Lorenz Curves to show the distribution.

Year 2001 2002 2003 2004 2005

Firm A 15 30 45 60 50

Firm B 20 30 45 60 45