Known in the early years as the ultimate baby-sitter, television was well suited for animation.  Fledgling networks were able to fill up vacant morning time slots with second run theatre cartoons.  At the same time, cereal companies found that sales skyrocketed when their products were advertised during children's programming.  The youth of america became a new advertising demographic.

Although television catered to North America's youth from the beginning, children's programming was scattered throughout the day.  It wasn't until the mid 1960s when the three major American networks began to dedicate a block of air time solely to the youth market.  With a line of toy companies joining in on the action, Saturday Morning Children's programming was born.  By 1971, over 20 million children in America alone were glued to the television between 7AM and 2PM gobbling down sugar coated cereal and making early christmas lists.  After all, the toys could do anything and some commercials were better than the TV shows.

As parents rarely watched Saturday morning cartoons with their children, advertisers quickly learned the important difference between family and children's programming.  With campaigns directed towards naive young minds, many commercials were so unscrupulous they made comic book promotions for Sea Monkeys look honest.  At the same time, there was a growing concern that the programming itself was unsuitable for children.  Several conservative parent organizations began publicly speaking out in regards to dishonest advertising, scantily clad female cartoon characters and immoral behaviour.

Although networks reverted advertising time to instructional programming such as "Schoolhouse Rock" it was too little too late to tame the outspoken groups.  It was then the FCC was forced to step in and set up ground rules for children's television.  Saturday Morning's fate was sealed.  With strict guidelines placed on new cartoons, writers and producers were left little room for imagination.  The rules included, believe it or not, that "no cartoon character was allowed to show individualist thought contrary to a group.  If such individualism was to be shown it had to end with a moral punishment."  Other rules were added throughout the years to curb dress codes, violence, suspense, and the pairings of male and female characters.

At the same time, cartoons were becoming more expensive to make.  Animation can take up to twenty four drawings a second -- more if additional characters are in the scene.  But many studios were dwindling the quality down to three frames a second, only allowing for mouth and eye movement.  Costume changes were rare.  But if children noticed Shaggy and Scooby running past that same cabinet 20 times while fleeing the ghost it didn't stop them from watching. 

By the mid 70s, some networks opted for an easy way out by switching to live action shows.  Such productions were not yet harshly regulated.  Some live action shows were exciting.  Many were flops that couldn't compare to the good old cartoon.  By the 1980s, Saturday Morning television slowly faded away.  That once popular time slot has not since been able to garner audiences one-tenth as large as they were during the 1970s heyday.

This cache is dedicated to the golden era of Saturday Morning television when cartoons were hip and the characters were groovy.
 

In order to solve the puzzle you must convert the letters in the mathematical formula into numbers.  To do this match the cartoon characters in the photographs below to their theme songs.  When a match is found, substitute the letter in the formula for the number above the TUNE in the TUNE TABLE.

For example, the picture with the letter T is from a 70s cartoon called "These are the Days."  The song is located in column 4 in the TUNE TABLE.  Therefore, T = 4.  When all the matches are found for the formula, simple math calculations will reveal the last five digits of the North and West co-ordinates.
 
 

Not all photographs nor songs are needed to complete the puzzle.  This cache is designed to be difficult so no hints will be given until a FTF is logged.

It's my hope that this puzzle will bring back some fond memories.  When you log this cache, I'd be interested to know if any of these songs have been perpetually playing in your head all the way to the cache.  If so, I've done my job.  heh heh heh.