Artificial intelligence technologies in the economy allow to remove the burden of numerous calculations and analytical functions from a person. For its effective application, it is necessary to determine the boundaries of the area where artificial intelligence can not replace a person. The author's opinion is illustrated by an analytical review of a number of areas of the national economy and economy in which artificial intelligence along with obvious successes is unable to solve urgent problems. The article provides examples of the use of artificial intelligence in the financial sector, the trends of changes in the tasks of administration and research of economic processes, the tasks of the head of strategic development and coordination of work in the new environment.