Introduction:
The Production Possibilities Curve (PPC) represents the different combinations of goods and services that an economy can produce given its resources and technology. It shows the maximum possible output of one good given the level of production of another good. A rightward shift of the PPC indicates an increase in the economy's production capacity.

Shift of PPC:

1. Discovery of gold reserves:
When there is a discovery of gold reserves, it can lead to a rightward shift of the PPC due to the following reasons:

- Increased resource availability: The discovery of gold reserves means that there are now additional resources available for production. This can include not only the gold itself but also the infrastructure and equipment needed to extract and process it. With more resources, the economy can increase its production capacity and shift the PPC to the right.

- Positive impact on technology: The discovery of gold reserves often requires advancements in technology for efficient extraction and processing. These technological advancements can spill over into other sectors of the economy, leading to increased productivity and a rightward shift of the PPC.

- Increased investment: The discovery of gold reserves can attract investment and capital inflows into the economy. This can lead to the development of new industries and infrastructure, which in turn increases the production capacity of the economy and shifts the PPC to the right.

2. Increase in the number of people taking leisure activities:
An increase in the number of people taking leisure activities, such as hobbies or vacations, would not directly result in a rightward shift of the PPC. Leisure activities do not contribute to the production of goods and services in the economy.

However, there can be indirect effects on the PPC due to changes in the labor market and human capital:

- Changes in labor supply: If a significant number of people start prioritizing leisure activities over work, it can result in a decrease in the labor supply. This can lead to a leftward shift of the PPC as there are fewer workers available to produce goods and services.

- Changes in human capital: When individuals engage in leisure activities, they may acquire new skills or knowledge that can be transferred to the workplace. For example, someone learning a new language during their leisure time can use that skill in their job. This can lead to an increase in human capital and productivity, resulting in a rightward shift of the PPC.

Conclusion:
In summary, a rightward shift of the PPC can occur due to the discovery of gold reserves, which increases resource availability, promotes technological advancements, and attracts investment. On the other hand, an increase in the number of people taking leisure activities would not directly result in a rightward shift of the PPC, but it can have indirect effects on the labor market and human capital, potentially leading to shifts in the PPC.