Hmmm... Large Pizza or Medium?

Some time ago, an analyst I worked with posted figures on whether it made more sense to get a large or a medium pizza.


Today I was faced with the dilemma again, and wanted to figure out which offers better value for money and by how much...

So, I worked on a formula quick that will help determine this so that next time I will be able to make a more informed decision.

A certain well-known franchise in SA currently sells a standard sized pizza at R47.00.
The same type of pizza in large is sold at R58.00.
The size of a standard pizza is 23cm, while a large is 30cm.

In turn, to calculate the area of the pizza, we use

r is the radius, which is half the diameter.
The diameter of the standard is 23cm, so the radius is 23/2.
This equates to 11.5.
So, the area of the standard pizza is 11.5² x 3.1416 (pi), which is 415.48.
Therefore, for 415.48 cm², we pay R47.00, which is R 0.11 per cm².

Similarly, the area of the large pizza is 706.86 cm².
And we pay R 0.08 per cm².

We can thus deduce that, per cm², the value for money of a large pizza is far greater.
This means that a standard pizza is 37.5% more expensive per cm² than a large.

So next time, get your money's worth and get a large.
You'll probably get fat quicker, or die of a heart attack sooner, but in times of a financial crunch, it helps to know you're saving... Bwahahahaha :)

Para El Ganador! #peg