Consider the two-dimensional post office location problem: given n points (x1, y1), . . . , (xn, yn) in the Cartesian plane, find a location (x, y) for a post office that minimizes 1 n n i=1(|xi − x| + |yi − y|), the average Manhattan distance from the post office to these points. Explain how this problem can be efficiently solved by the problem reduction technique, provided the post office does not have to be located at one of the input points.

The crop yield increased by 9 pounds per acre from year 1 to year 10.

Step-by-step explanation:

To solve this we are using the average rate of change formula: , where:

is the second point in the function

is the first point in the function

is the function evaluated at the second point

is the function evaluated at the first point

We know that the first point is 1 year and the second point is 10 years, so and . Replacing values:

Since represents the number of pounds per acre and the number of years, we can conclude that the crop yield increased by 9 pounds per acre from year 1 to year 10.