Chapter 11.10, Problem 39P

(a)

Summary Introduction

Interpretation: For the situation described in Problem 28, the gravity solution needs to be determined.

Concept Introduction: In a gravity problem, the objective becomes appropriate when the cost for locating new facilities goes up, as the function of square of distances between the new facility to the existing facility.

(b)

Summary Introduction

Interpretation: For the situation described in Problem 28, by using the answer obtained in part (a) as an initial solution for the Euclidean distance problem, and if it is solved by hand then $(x_i,y_i)$ for $1\le i\le 5$ needs to be determined iteratively or for $1\le i\le 20$ if the solution is arrived at by using a computer. Based on the result the final solution needs to be estimated.

Concept Introduction: In a Euclidean space, the distance between two points, in a straight line is called Euclidean distance.