Explanation:
Auxins are a group of plant hormones that play a crucial role in various plant growth and developmental processes. They are primarily produced in the shoot and root tips of plants.

- Shoot tips: In the shoot tips, auxins are mainly produced in the apical meristem region, which is responsible for the growth and development of the stem and leaves. The apical meristem contains undifferentiated cells that can give rise to different types of tissues. Auxins produced in this region help in the elongation of the stem and the formation of new leaves.

- Root tips: In the root tips, auxins are mainly produced in the root apical meristem, which is responsible for the growth and development of the root system. The root apical meristem contains undifferentiated cells that can give rise to different types of root tissues. Auxins produced in this region help in the elongation of the root and the formation of lateral roots.

Other sources of auxins:

- Leaves: Although auxins are primarily produced in the shoot and root tips, leaves also contain a small amount of auxins. These auxins play a role in leaf abscission, which is the shedding of leaves from the plant.

- Phloem: The phloem is a vascular tissue that transports nutrients and other molecules from the leaves to other parts of the plant. Auxins are also transported through the phloem to other parts of the plant.

- Xylem: The xylem is a vascular tissue that transports water and minerals from the roots to other parts of the plant. Although auxins are primarily produced in the shoot and root tips, they can also be transported through the xylem to other parts of the plant.

Conclusion:
In conclusion, auxins are primarily produced in the shoot and root tips of plants, where they play a crucial role in various growth and developmental processes. Although auxins can also be found in other parts of the plant, their main source is the shoot and root tips.