Rotation of PPF:
The rotation of the Production Possibility Frontier (PPF) refers to a change in the allocation of resources between the production of two goods or services. It occurs when there is a shift in the economy's ability to produce one good relative to the other. This rotation can be caused by various factors such as technological advancements, changes in resource availability, or improvements in productivity.

Shift of PPF:
The shift of the Production Possibility Frontier (PPF) refers to a change in the overall production capacity of an economy. It occurs when there is an increase or decrease in the available resources or when there is a change in technology or productivity. A shift in the PPF represents a change in the economy's ability to produce goods and services efficiently.

Factors influencing the rotation and shift of PPF:
1. Technological advancements: Advances in technology can lead to an improvement in production processes, allowing for increased output with the same amount of resources. This can lead to a rotation of the PPF as the economy becomes more efficient in producing one good relative to the other.

2. Changes in resource availability: If there is a change in the availability of resources, it can impact the production capacity of an economy. For example, the discovery of new natural resources or the depletion of existing resources can cause a shift in the PPF.

3. Changes in productivity: Productivity improvements can also lead to a rotation or shift of the PPF. When workers become more skilled or efficient, they can produce more output with the same amount of resources, resulting in a change in the economy's production capabilities.

4. Changes in trade: International trade can also influence the rotation and shift of the PPF. Trade can provide access to resources or technology that may not be available domestically, allowing for increased production capacity and a shift in the PPF.

Implications of rotation and shift of PPF:
1. Increased production capacity: A shift in the PPF towards the right indicates an increase in an economy's production capacity, allowing for higher levels of output for both goods or services.

2. Opportunity cost: The rotation and shift of the PPF affect the opportunity cost of producing one good over the other. As the PPF rotates or shifts, the trade-off between producing different goods changes, impacting the opportunity cost associated with allocating resources to different sectors.

3. Economic growth: The rotation and shift of the PPF are often associated with economic growth. Technological advancements, improvements in productivity, and increased resource availability can lead to a more efficient allocation of resources and higher levels of output.

4. Resource allocation: The rotation and shift of the PPF reflect changes in resource allocation within an economy. As the PPF changes, it indicates a reallocation of resources towards the production of one good relative to another, reflecting changes in consumer preferences or shifts in demand.

In summary, the rotation and shift of the PPF represent changes in an economy's production capacity and resource allocation. These changes can be influenced by various factors such as technological advancements, changes in resource availability, productivity improvements, and trade. Understanding the implications of these changes is crucial for analyzing economic growth, opportunity costs, and resource allocation decisions.