Provide an Appropriate Response

Multiple Choice

Provide an appropriate response.
-Find the extrema of f(x, y, z) = x + yz on the line defined by x = 8(6 + t) , y = t - 8, and z = t + 6. Classify each extremum as a minimum or maximum. (Hint: w = f(x, y, z) is a differentiable function of t.)

A) (24, -11, 3) , minimum
B) (72, -5, 9) , minimum; (0, -8, 0) , minimum
C) (24, -11, 3) , minimum; (72, -5, 9) , maximum
D) (72, -5, 9) , minimum