Question: Question 2: (50 points) Kinh Do is a small bakery that supplies 5 major customers with bread each morning. If we locate the bakery at

Question 2: (50 points)

Kinh Do is a small bakery that supplies 5 major customers with bread each morning. If we locate the bakery at P0(0,0), then the five customer locations and their daily requirements are:

Customer

Location

Daily requirements

1

(15, 30)

85

2

(5, 30)

162

3

(10, 20)

26

4

(5, 5)

140

5

(20, 10)

110

The bakery has several delivery trucks, each having a capacity of 300 loaves. We shall assume that the cost of traveling between any two locations is Euclidean distances.

  1. Calculate the cost matrix
  2. Find a delivery pattern that both meets customer demand and minimizes delivery costs, subject to not exceeding the capacity constraint on the size of the delivery trucks.
  • Answer:

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