Question

2. The following graph is a graph of weekly hundred labor hours are used and y thousand refrigerators are produced. costs (in thousands $) for a certain company when x Mark the critical point on the graph with an X 201 a. b. Is the critical point a relative maximum, relative minimum or a saddle point 15 200 300 400 500 y 10 c. Interpret the critical point (3 coordinates!) in the context of the problem. 5- 10 15 5 20 x hundred labor hours thousand refrigerators

Answer 1

20 15 X 200300 400 500 2y 10 15 5 x hundred labor hours 20 10 thousand refrigerators

(a.) In the above figure, the critical point is marked with a green X |(b.) As the function is decreasing towards the critical point and the contour lines are not intersecting each other at it, the critical point is arelative minimum (c.) The coordinates of the critical point would be (x. y, z) (7.5,12.5,0) Please rate. Thanks