Each of the following plots shows contours of a smooth function f1x1, x22. Determine graphically whether each indicated point is an unconstrained local maximum, an unconstrained global maximum, an unconstrained local minimum, an unconstrained global minimum, or none of the above over the domain depicted.

(a) Points x112 = 11, 32, x122 = 14, 42, x132 = 13, 32, x142 = 14, 12, x152 = 12, 12

Transcribed Image Text:

x2 S 100 20 20 40 5 = x1 (b) Points x(1) (6.6), x(2) = (2,8), x(3) = (8,2), x(4) = (4, 4), x(5) = (4,2) == 15 10 0 100 200 200 300 H(S) 400 x1 10