My mom doesn't want to eat or get out of bed. Should they make her?

She has chronic back pain (from lying in bed all the time) and getting towards end stage dementia. She is otherwise healthy; no diabetes, lung problems, cancer. Her long term care facility is an excellent one, and they work very hard getting her to eat, exercise and stay out of bed. But should she be made to do these things? Just because others think she should do more, is that our decision to make? But if we don't force her to do these things, she will deteriorate even faster. What is the right thing to do?