you are likely to find Logic in/at/on School. you are likely to find Radio in/at/on School. you are likely to find Radio in/at/on Home. you are likely to find Kitchen in/at/on Home. 
Desperate is related to Need. 
Logic --AtLocation--> School <--AtLocation-- Radio --AtLocation--> Home <--AtLocation-- Kitchen 
Desperate <--RelatedTo--> Need 