Final answer:
The maximum and minimum values of f subject to the constraint that g(x, y) = 8 are both 10.
Step-by-step explanation:
The maximum and minimum values of f subject to the constraint that g(x, y) = 8 can be determined by analyzing the function f(x) = 10,0.
Since the graph of f(x) is a horizontal line, the maximum and minimum values of f occur at the endpoints of the interval 0 ≤ x ≤ 20.
Therefore, the maximum value of f is 10 and the minimum value of f is also 10.