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You are here: Home / General / Random - TidBit / Interesting Pay Scale

Interesting Pay Scale

June 19, 2010 By Robert Owen 4 Comments

Interesting Math adventure.

Today, while having lunch with my parents at Litton’s,  Barry Litton (the owner) posed a scenario that I had a hard time wrapping my head around.  It was this:

Barry:  If a man came to your home and said, “I’d like to work in your yard everyday for the next 31 days.  All I ask for is you pay me 1 cent the first day then double it every day after for the next 31 days.” How much do you think you would end up paying?

Me:  No idea… I can’t do that much math in my head.

Barry:  over Ten Million dollars

Me: *gulp*

So, the more I thought about this the more impossible it sounded… I mean, we’re talking about pennies!!  So, here’s the Math.  One employee, 31 days of employment, 1 cent first day, doubling everyday after.

Day 1:  1 cent
Day 2:  2 cents
Day 3:  4 cents
Day 4:  8 cents
Day 5:  16 cents
Day 6:  32 cents
Day 7:  64 cents
Day 8:  128 cents = $1.28
Day 9:  256 cents = $2.56
Day 10: 512 cents = $5.12
Day 11: 1024 cents = $10.24
Day 12: 2048 cents = $20.48
Day 13: 4096 cents = $40.96
Day 14:    8192 cents = $81.92
Day 15:    16384 cents = $163.84
Day 16: 32768 cents = $327.68
Day 17: 65536 cents = $655.36
Day 18: 131072 cents = $1,310.72
Day 19: 262144 cents = $2,621.44
Day 20: 524288 cents = $5,242.88
Day 21: 1048576 cents = $10,485.76
Day 22: 2097152 cents = $20,971.52
Day 23: 4194304 cents = $41,943.04
Day 24: 8388608 cents = $83,886.08
Day 25: 16777216 cents = $167,772.16
Day 26: 33554432 cents = $335,544.32
Day 27: 67108864 cents = $671,088.64
Day 28: 134217728 cents = $1,342,177.28
Day 29: 268435456 cents = $2,684,354.56
Day 30: 536870912 cents = $5,368,709.12
Day 31: 1073741824 cents = $10,737,418.24
——————————————–
Total monthly pay:  $21,474,836.47

Well over 10 million.  So… I guess, this would be a good deal if you could get it!    Anyone need an IT guy for 31 days?? Start cheap! 😀

Makes you think twice about getting rid of the penny now, doesn’t it?  Lunch was still quite good at Litton’s, even though I was distracted by the above math problem.  If you want a good Burger and some interesting math discussions, go see Barry Litton over at Litton’s in Fountain City.

Visit their website: http://www.littonsburgers.com
Follow them on Twitter: @littons

© 2010, Robert Owen. All rights reserved.

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Filed Under: Random - TidBit Tagged With: adventure today, cent, home, litton, Math, math adventure, Pay, pay scale, pennies, yard

Comments

  1. Gina says

    June 19, 2010 at 11:22 pm

    My Daddy must know Barry Litton because he played the same trick on me when I was about 9.

    His slant was, “If you pay me a penny and then double it every day, you can be the boss of me for as long as you can afford it. Then I get to be the boss of you, again.”

    I couldn’t afford it for long. (It was the 70s, so I probably had less than a buck to my name…)

    Reply
    • Robert Owen says

      June 20, 2010 at 12:24 am

      I was completely unable to comprehend how he got to such a large amount starting from just a penny…. I had to pull out a pen and bum a piece of paper… Then lunch came and I discontinued my “figurin” until I got home.

      Reply
  2. Robyn says

    June 21, 2010 at 1:15 pm

    Ha! That’s awesome–and insane!

    Reply
    • Robert Owen says

      June 21, 2010 at 9:36 pm

      Amazingly insane! 😆

      Reply

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Robert Owen A Horn Player turned salesman, turned Computer Consultant & Horn Player, Turn Network Engineer & Horn Player.... Well, How about a Horn player who does a lot of other stuff? More about me. FacebookInstagramLinkedInTwitter

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