Final answer:
The minimum of the function q = 4x² + 2y² when x = 6 and y = 6 is 216.
Step-by-step explanation:
To find the minimum of the function q = 4x² + 2y² when x = 6 and y = 6, we substitute these values into the function.
Calculating the values:
- q = 4(6)² + 2(6)²
- q = 4(36) + 2(36)
- q = 144 + 72
- q = 216
The minimum value of q when x = 6 and y = 6 is 216.