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Cost Models (cont)

Our cost models are "rough" (based on assumptions)

But do give an O(x) feel for how expensive operations are.

Back-of-the-envelope calculation: how many piano tuners in Sydney?

  • Sydney has ≅ 4 000 000 people
  • Average household size ≅ 3 ∴ 1 300 000 households
  • Lets say that 1 in 10 households owns a piano
  • Therefore there are ≅ 130 000 pianos
  • Say people get their piano tuned every 2 years (on average)
  • Say a tuner can do 2/day, 250 working-days/year
  • Therefore 1 tuner can do 500 pianos per year
  • Therefore Sydney would need ≅ 130000/2/500 = 130 tuners
Actual number of tuners in Yellow Pages = 120
Example borrowed from Alan Fekete at Sydney University.