Question

For a given function f(x,y), find the extreme values of f subject to both constraints:

g1(x,y)=17
g2(x,y)=20
A) There is no extreme value.
B) The extreme values occur at the points where g1=g2.
C) The extreme values are found at the critical points of f.
D) The extreme values occur at the intersection points of the constraint curves.

Answer 1

The extreme values of the function f(x, y) subject to the constraints g1(x, y) = 17 and g2(x, y) = 20 occur at the intersection points of the constraint curves.

Step-by-step explanation:

The extreme values of the function f(x, y) subject to the constraints g1(x, y) = 17 and g2(x, y) = 20 can be found at the intersection points of the constraint curves. This means that the extreme values occur when g1(x, y) = 17 and g2(x, y) = 20 simultaneously. So, the correct answer is option D) The extreme values occur at the intersection points of the constraint curves.