As a shoe factory adds more workers, shoe production grows, reaches a maximum, and then shrinks. In a diagram that has the number of workers on the horizontal axis and the number of shoes on the vertical axis, the relationship between the number of workers and the number of shoes starts as ________ and then, after the maximum point, is ________.
A) negative; positive
B) linear; negative
C) positive; non-existent
D) positive; linear
E) positive; negative

Question

Quizplus · Accepted Answer

Initially, as the shoe factory adds more workers, the shoe production increases at a positive rate. However, after reaching a maximum point, the production decreases at a negative rate as adding more workers leads to inefficiencies, redundancy, and decreased productivity. Therefore, the graph of the relationship would be positively sloped at first and then become negatively sloped past the maximum point.

As a Shoe Factory Adds More Workers, Shoe Production Grows