Three new road P, Q and R are planned in a district. The

Three new road P, Q and R are planned in a district. The data for these roads are given in the table below.

Based on the principle of maximum utility, the order of priority for these three roads should be

Based an population, weightage is
< 2000: 1
2000 – 5000 : 2
75000 : 3

P =	(8 × 1) + (6 × 2) + (1 × 3)	= 1.15
	20

Q =	(19 × 1) + (8 × 2) + (4 × 3)	= 1.68
	28

R =	(7 × 1) + (5 × 2) + (2 × 3)	= 1.917
	12

∴ R > Q > P