A helpful repairman diagnosed the problem over the phone as a bad control board. So I ordered the board from AppliancePartsPros.com at a very reasonable price and had the repairman come and do the installation after the board arrived. I felt uncertain about gaining access to the part. The instructions were very clear about how to program the board which the repairman appreciated.
The part is very surely a genuine Whirlpool part at a very reasonable price.
I am very satisfied with my experience with AppliancePartsPros.