Excel 2007 : IF Super formula

I am attempting to create a IF function that will give me 4 possible results.

Between 1000 and 524, 0 and 224 should result in "R"
Between 525 and 501, 225 and 249 should result in "LS"
Between 500 and 438, 250 and 312 Should Result in "FT"
Between 313 and 436 should result in "A"

This was my first hasty attempt
=IF(AND(F13<0,F13<225),IF(AND(F13>224,F13<250),IF(AND(F13>249,F13<313),IF(AND(F13>312,F13<438),IF(AND(F13>437,F13.501),IF(AND(F13>500,F13<526),IF(AND(F13>525),"R"),"L/S"),"F/T"),"A"),"F/T"),"L/S"),"R")

and the start of my Second
=IF(F13>1000,IF(F13<526,"R"))

the second one works until I add more fields.

Thank You very much it appears to work well, i have to punch in some more numbers to double check tho, that also appears to work well for my other field tolerances too. Again Thank You very much.

Now is there any way i could expand that to accept other tolerances from other cells. sort of like a filter, it has to meet B1 criteria, B2, B3, B4, B5, And B6 to achieve A, FT, LS, or R. I know there is a way maybe with an AND, but I'm not sure where to plug them in.

after it sorts that, there are ranges in columns K through R 13. i cant disclose all of them but K13 is 0- 7,061 should be R, 7,062-7,093 should be LS, 7,093-7,124 should be A. >7,125 R, shouldn't it be,
=IF(F13<>"",LOOKUP(F13,{0,"R";225,"LS";250,"FT";313,"A";437,"FT";501,"LS";525,"R"}),=IF(F13<>"",LOOKUP(F13,{0,"R"7,021,"LS";7,092,"A";7,124,"R"}),"")"")

do i need to have the first set of brackets share all the information.
i hope this helps.

Here You Go
i hope this helps more
Attachment.xlsx