Half a croissant, on a plate, with a sign in front of it saying '50c'
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Free pizza by algebra

You know it makes sense.
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Pizzas are sold and priced according to diameter.

However, a careful examination of the pricing policy of one unrepresentative outlet reveals an anomaly.

Pizzas are not priced in a linear manner.

Given the same toppings, a pizza 7 units in diameter vends at 530 currency units. This is 3.44 currency units per unit area.

However, a pizza 14 units in diameter vends at 1150 currency units, giving a price of 1.86 currency units per unit area.

The gradient of the slope is therefore -0.225, and the price/area equation is given by price = -0.225 * diameter + 5.01

Thus the unit price of a pizza of diameter 1 is 4.78 currency units, and by extrapolation a pizza of 22 units diameter costs zero currency units per unit area.

Should the pizza exceed 22 units in diameter, the price goes negative, i.e. they have to pay you to take it away.

Isn't capitalism wonderful ?

PS can anyone explain why, when we explained this, they threw us out of the shop and told us not to come back ?

8th of 7, Jul 13 2014

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       I think your mathematics is flawed. If the price per unit area follows an inverse power law, then the cost per unit area will become zero only at infinite size. Add delivery charges, and the whole things become a bit like Messen's Telescope.   

       You have, in short, extrapolated illinearly between two data points.
MaxwellBuchanan, Jul 13 2014
  

       We'll give you half the pizza if you shut up ...
8th of 7, Jul 13 2014
  

       Deal. I'll take the top half.
MaxwellBuchanan, Jul 13 2014
  

       Half of an infinite pizza?
pocmloc, Jul 13 2014
  

       Yup ... that's a lot of pizza. Now watch him try to carry it home without the crust, or the box it came in ...
8th of 7, Jul 13 2014
  

       I have people to take care of things.
MaxwellBuchanan, Jul 13 2014
  

       Anyway I thought Messen was the microscope and infinitessimal smallness. You must be looking down the wrong end of it?   

       Also this makes me think, if the pizza price curve is curved, does the pizza approach an infinite price as its size approaches zero? That could imply that choosing not to eat pizza could be a bad decision.
pocmloc, Jul 13 2014
  

       //can anyone explain why//   

       I think they got pizzed off
theircompetitor, Jul 13 2014
  

       You are correct. Not eating pizza can be economically disastrous; but it is important to remember that the pizzas MUST be big. Eating many small pizzas is nearly as expensive as eating no pizzas at all, whereas eating even a few very large pizzas guarantees prosperity, happiness, and chronic obesity.
8th of 7, Jul 13 2014
  

       //chronic obesity//   

       Wasn't he the All Ireland Sumo Champion in 1987?
MaxwellBuchanan, Jul 13 2014
  

       No, you're confusing him with Colum O'Bestiary, the 1989 Inner Hebrides All-comers haggis-hurdling champion. Such a pity that, like all the other competitors, he received his medal posthumously; but then it wouldn't do to let the old tradition lapse.
8th of 7, Jul 13 2014
  
      
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