I've never understood why "feasible" and "high priority" were inversely proportionate in corporate terms. I came to the conclusion long ago that logic had no place in the corporate environment and I was best served by following orders rather than thinking for myself. I'm a lot happier now, even if what I accomplish is typically useless and often superseded by the next illogical and pointless task.
In a company like Dilbert's High priority tasks have more people involved and are rarely successful, but when they are successful, all the success is rewarded to the managers instead of the actual workers. Low-priority tasks have fewer people involved and are more successful, and all the success goes to the workers because managers are too busy trying to take credit for the high-priority tasks.