Final answer:
The backward economic system that does not allow for change is the traditional economy. Occupations and farming methods are passed down in families, and what is produced is consumed by those who produce it, leading to minimal economic development.
Step-by-step explanation:
The type of economic system described as being very backward since it does not allow for change is the traditional economy.
This is the oldest economic system and is still used in parts of Asia, Africa, and South America. In such economies, occupations often stay within the family, with most families engaged in farming using traditional methods.
Produce is typically consumed by the family that produces it, and due to the adherence to tradition, there is little in the way of economic progress or development.