Assume that a developer is planning to construct a small neighborhood shopping strip of 10,000 sq.ft in county 3 (figure below). There are two existing centers, A and B, in counties 1 and 2,respectively. The distance between the counties is the same, 20 minutes. As in the example in thebook, assume that the distance increases by 1 for every 5 minutes. Thus, T12 = T13 = T23 = 4. It takesa resident living in a county less than 5 minutes to reach a center in the same county, that is, T11 =T22 T33 = 1. The parameter b in the book formula 3.4 is equal to 2.County 1Center ASize: 10,000 sfCounty 3Project: ConstructCenter CSize: 10,000 sfCounty 2Center BSize: 15,000 sf1) What is the probability that a resident of county 1 shops at the new center in county 3?

Assume that a developer is planning to construct a small neighborhood shopping strip of 10,000 sq. ft in county 3 (figure below). There are two existing centers, A and B, in counties 1 and 2, respectively. The distance between the counties is the same, 20 minutes. As in the example in the book, assume that the distance increases by 1 for every 5 minutes. Thus, T₁2 = T13 = T23 = 4. It takes a resident living in a county less than 5 minutes to reach a center in the same county, that is, T₁1 = T22 = T33 = 1. The parameter b in the book formula 3.4 is equal to 2. County 1 Center A Size: 10,000 sf County 3 Project: Construct Center C Size: 10,000 sf County 2 Center B Size: 15,000 sf 1) What is the probability that a resident of county 1 shops at the new center in county 3?