Perfectly Preserved Pie (Fallout 4)

The perfectly preserved pie is a consumable item in Fallout 4.

Characteristics
The pie's most significant difference from many other foodstuffs found throughout the wasteland is its preservative-filled nature, lacking any radiation when compared to most other pre-War foodstuffs.

Obtaining
The perfectly preserved pie can be obtained from any Port-A-Diner, with a small chance of dispensing. Obtaining the pie on any particular attempt is determined by the formula...
 * $$chance = \frac{ ( luck \times 4 ) + attempts} {2000}$$
 * ...where...
 * chance: the percentage chance of obtaining the pie
 * luck: the Sole Survivor's Luck, even if the Port-A-Diner is operated by a companion
 * attempts: the number of previous attempts made to obtain the pie

...thus, even with a Luck of 10, there's still only a 2% chance of obtaining the pie on the first attempt. Regardless of Luck, a pie will always be dispensed after 2000 attempts.

Perfectly preserved pie locations

 * One can be found in a wall mounted Eat-o-tronic in the Mechanist's lair.
 * Two slices of pie can be found on the counter in Cappy's Cafe, not contained within a Port-A-Diner.
 * One can be found above the entrance to Fizztop Mountain, only accessible by dropping from a beam above.