4267eae7-1466-492a-9fd9-8a67df766cb7 5 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

The pet shop quiz

ε 1012 -^:

How many of each species can you purchase with $ 100 for 100 pets ?

f init GivenFind f init FindRoot :

x dogs ≡ ($ 15 ≡ y cats ≡ ($ 1 ≡ z mices ≡ ($ 0.25 ≡ 31 line

f x y + z + 100 ≡ 15 x * 1 y * + 0.25 z * + 100 ≡ z y - 15 ≡ 31 mat :

init x ε ≡ y ε ≡ z ε ≡ 31 mat :

we can establish the purchse

x y z sol f init GivenFind :

x y + z + 100 ≡ 15 x * 1 y * + 0.25 z * + 100 ≡ 21 mat

x, y, z 
in lexicographic order x y z sol 3415631 mat

There is a missing condition: with $100 you can purchase 400 mices, 0 cat, 0 dog.. For 'z' mices purchsed minus 'y' cats [because you must purchase cats too] from an unknown set of pets, this trading must return the price of a dog, i.e: $ 15. Therefore => the missing condition is ............ [z-y]=15

sanity x y + z + 15 x * 1 y * + 0.25 z * + 21 mat 10010021 mat

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F 2 a 2^* a b + (2^≡ a 2^b 2^+ 100 ≡ c a b + (2^25 - sqrt ≡ 31 mat :

init a 1 ≡ b 1 ≡ c 1 ≡ 31 mat :

a b c sol F init GivenFind :

a b c sol 9.2388 3.8268 12.0711 31 mat