Estimate the annual US market for dog food.

Estimate about $44 billion a year at retail. 130 million households at 45% gives about 60 million owners and 90 million dogs. Feeding 40 million small, 30 million medium and 20 million large dogs costs $120 million a day, about $1.30 per dog.

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Example answer

50/100

Americans love their dogs, so this has to be big. I'd guess tens of billions of dollars.

There are about 130 million households in the US. I'll say 45% have a dog, which is 58.5 million, and I'll round to 60 million. At 1.5 dogs each that's 90 million dogs.

I'll say a dog costs $1.50 a day to feed. 90 million times $1.50 is $135 million a day. Times 365 is about $49 billion a year.

What holds it back

"Tens of billions" is a guess before any reasoning. The 45%, the 1.5 dogs and the $1.50 a day are all bare numbers, and it never says how the market is being built.

The numbers, step by step

Dogs are built from about 130 million households, split into three sizes, and fed dry food at about $1.50 a pound at store prices.

Households with a dog130 million × 45%
58.5 million, rounded to 60 million
Dogs60 million × 1.5
90 million
Small dogs, per day40 million × $0.75
$30 million
Medium dogs, per day30 million × $1.50
$45 million
Large dogs, per day20 million × $2.25
$45 million
All dogs, per day$30 million + $45 million + $45 million
$120 million
Market per year$120 million × 365
about $44 billion
Check: cost per dog per day$120 million ÷ 90 million dogs
$1.33, about $1.30
Check: share of a person's $6 a day$1.33 ÷ $6
22%, a bit under a quarter

What the interviewer listens for

  • Do you say what the market includes and at what price level?
  • Do you build the number of dogs from households?
  • Do you split dogs by size and not feed them all the same?
  • Is the daily cost built from quantity and price?
  • Do you check spend per dog against something outside your own inputs?

Common mistakes

  • Counting dog-owning households as dogs.A good share of owners have two, so the number of dogs is about half as large again.
  • Feeding every dog the same amount.A large dog eats about three times what a small one does, and small dogs are a big share of the total.
  • Giving a daily figure as the answer.The question asks for an annual market, so the $120 million a day still has to be multiplied by 365.
  • Never saying whether the figure is what shoppers pay or what manufacturers receive.The two differ by the store's margin.

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