Find the Center and Radius of the Sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 4 x + 4 - 8 y = 0$

question 54

Essay

Find the center and radius of the sphere. $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 4 x + 4 - 8 y = 0$

---

Definitions:

Demand Uncertainty

The inability to accurately forecast consumer demand, leading to challenges in supply chain planning and inventory management.

Price Uncertainty

The unpredictability of the cost of goods or services in the future, affecting budgeting and planning.

Warehousing Space

The area available for the storage of goods in a warehouse, crucial for inventory management and logistics.

Supply Chain Design

The process of structuring a supply chain to meet the goals of cost, efficiency, delivery, and flexibility.