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Estimate the number of flags hoisted on 76th Republic Day of India.

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I will begin by paraphrasing the question prompt. Next, I will clarify if hosting a flag means hosting a full size flag and not a small plastic flag. 

Next, I will talk about the two approaches possible:

Supply Side - Track sale of flags from retailers & distributors 

Demand Side - Track consumption pattern of citizens and institutions

I will go with the demand side analysis. My tree structure looks something like this:

Population - ~140 Cr (30% Urban ; 70% Rural)

Flags are hoisted homes, government buildings, and in commercial establishments (urban context). In Rural -> Homes & Government buildings. 

Key assumptions - 

  • Urban & Rural -> 30% & 70% 
  • # house holds in urban -> population/4
  • # house holds in rural -> population/6
  • Government buildings (urban & rural) -> 1 per 1 Lk population
  • Commercial establishments -> 10 per 1 Lk (urban only)
  • 30% urban homes & 70% rural homes host flags
  • 100% govt & 100% commercial establishments host flag
The numbers add up as -> Urban -> 3.15 Cr + 42.2K ; Rural -> 11.2 Cr + 9.2K
 
Total -> 14.35 Cr + 51.4K 
 
Round off to ~ 14 -15 Cr flags 
 
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