I have a dgb600bc grind and brew. It will initially grind and brew the coffee hot, but as soon as the brewing is done the heating element shuts off causing the coffe to slowly get cold.

Found this in manual: "Setting the Automatic Shutoff Time The Automatic Shutoff Time can be pro- grammed anywhere from immediate shutoff after completion of the brew cycle up to four hours.
To check the current setting, press and hold the On/Off button (about 2 seconds) until the red light and LCD display begin to flash. This signals that you have entered the Set Automatic Shutoff mode. The desired time can be set by pressing the Hour and Minute buttons to scroll forward through the digits until the desired time appears. Pressing and holding either button will allow you to scroll continuously, slowly at first, and then to accelerate to the rate of about three digits per second. As the desired time setting approaches, release the button and press repeatedly to advance one digit at a time.
The Automatic Shutoff Time may be pro- grammed either before or during coffee brewing. You may also re-program the shutoff time when brewing has been completed. If you do so, the unit will automatically account for any time that has already elapsed after brewing. For example, if you set the shutoff time for 40 minutes and 25 minutes have already elapsed, the unit will shut off automatically after 15 minutes (40 minutes minus the 25 elapsed equals 15 minutes)."
I'm gonna check it on mine when I get home - we have the insulated carafe also but who knows ¯¯\\_(?)_/¯

Hi,

When the cycle is finished, the coffeemaker will beep 5 times, indicating that the coffee is ready. The unit will turn off automatically.

The insulated carafe keeps the coffee warm for four hours. The aroma of the coffee is preserved thanks to the hermatic cover. It is not necessary to remove the cover to pour coffee.

Hope this will help you.
/Mirran