Find the row name with the highest sum of numbers - google-sheets

Question

In the below spreadsheet, I am trying to find the item with the highest total sales across various hours.
I would like to easily extract the highest and lowest selling item names as well as their corresponding total sales. I need to be able to do this without creating a helper column as I cannot edit the table.
I know there's probably an easy way to do this but for the life of me I cannot figure it out!
Link to Sheet

Answer 1

B12:
=INDEX(SORT(SPLIT(FLATTEN(B2:G10&"×"&A2:A10&"×"&B1:G1), "×"), 1, 0), 1, 2)
B13:
=INDEX(SORT(SPLIT(FLATTEN(B2:G10&"×"&A2:A10&"×"&B1:G1), "×"), 1, 0), 1, 1)
B14:
=INDEX(SORT(SPLIT(FLATTEN(B2:G10&"×"&A2:A10&"×"&B1:G1), "×"), 1, 1), 1, 2)
B15:
=INDEX(SORT(SPLIT(FLATTEN(B2:G10&"×"&A2:A10&"×"&B1:G1), "×"), 1, 1), 1, 1)

Answer 2

** edit: use player0's for the overall min and max.
Check this demo sheet
To get the highest or lowest by time slot (put this in I5),
=ARRAYFORMULA(
IFERROR(
VLOOKUP(
TRANSPOSE(B1:G1),
SORT(
SPLIT(
FLATTEN(B1:G1&"|"&A2:A&"|"&B2:G),
"|"),
3,FALSE),
{1,2,3},FALSE)))
Then to align the lowest per timeslot with that, put this in M5
=ARRAYFORMULA(
IF(ISBLANK(I5:I),,
IFERROR(
VLOOKUP(
I5:I,
SORT(
SPLIT(
FLATTEN(B1:G1&"|"&A2:A&"|"&B2:G),
"|"),
3,FALSE),
{2,3},FALSE))))
If you also wanted conditional formatting for the daily high and low, use a range of B2:G with
=AND(LEN(B2),MIN($B2:$G2)=B2)
If you really want to have these formulas below the table, change
FLATTEN(B1:G1&"|"&A2:A&"|"&B2:G),
to
FLATTEN(B1:G1&"|"&A2:A10&"|"&B2:G10),