A logic question!

Question

A health company is to see 14 new patients per week. Each patient will be a part of a 12 week program whereby they see a specialist every other week for an hour. Over the year, what is the maximum number of patients to be seen in any week assuming that each patient is discharged after 12 weeks?

Answer 1

In the following sequence, each letter represents
a group of 14 patients in a two week window. Each row is 2 weeks.
CASE SENSITIVE: That is A is different from a, as they represent different groups.


A                 B
CA               DB
ECA             FDB
GECA           HFDB
IGECA         JHFDB
KIGECA       LJHFDB <--- A is discharged
MKIGEC      NLJHFD <--- B is discharged
OMKIGE      PNLJHF <--- C and D are discharged
QOMKIG     RPNLJH <--- E and F are discharged
SQOMKI     TRPNLJ <--- G and H are discharged
USQOMK    VTRPNL <--- I and J are discharged
WUSQOM   XVTRPN <--- K and L are discharged
YWUSQO   ZXVTRP <--- M and N are discharged
aYWUSQ    bZXVTR <--- O and P are discharged
caYWUS     dbZXVT <--- Q and R are discharged
ecaYWU     fdbZXV <--- S and T are discharged
gecaYW     hfdbZX <--- U and V are discharged
igecaY       jhfdbZ <--- W and X are discharged
kigeca       ljhfdb <--- Y and Z are discharged
mkigec      nljhfd <--- a and b are discharged
omkige      pnljhf <--- c and d are discharged
qomkig      rpnljh <--- e and f are discharged
sqomki      trpnlj <--- g and h are discharged
usqomk     vtrpnl <--- i and j are discharged
wusqom     xvtrpn <--- k and l are discharged
ywusqo      zxvtrp <--- m and n are discharged

6 x 14 = 84 patients per week.

As this is a logic problem. It stands to reason that

It will take 12 weeks for the schedule to beef up to a depth of 6 groups.

A new group is added every week, and the discharges don't happen

until week #13. 12/2  = 6