Question

please fill out tables and show work thanks!

Huff's Law of Shopper Attraction Homework Chapter 9 Calculate the answers to the following three problems and place your answers in the charts provided. Also include your calculations 1. There are 5.000 potential customers who can choose from four stores that sell toys. Below is given the drive time and the square footage dedicated to toys in each of the four stores. Using Huff's Law answer the following two questions. What percentage of those customers is likely to shop for toys in each of the stores? Also, figure the number of potential customers for each based on percentages, (Remember to round off and round upward to the nearest complete person.) Store A 10 200 Store B 30 650 Store C 120 2000 Store D 17 900 to Drive Time SOFT of toys Percent likely shop Number people likely to shop 2. There are 8,500 potential customers who can choose from three stores that sell appliances. Using Huff's Law answer the following two questions. What percentage of those customers is likely to shop for appliances at each of the thee stores? Also, figure the number of potential customers for each based on percentages. (Remember to round off and round upward to the nearest complete person.) Store A Store B Store C Miles to the store 5 2 0 17 SQ FT of stores 2350 54550 27600 Percent likely to shop Number people likely to shop 3. The 12,000 people in Daleville have three other shopping options. Using Huff's Law answer the following two questions. What percentage of the people in Daleville is likely to shop in each of the three cities? Also, figure the number of potential customers for each based on percentages. (Remember to round off and round upward to the nearest complete person.) Russell 20 47,800 Marion 75 42,500 Midway 35 200.000 Drive Time Population of each community Percent likely to shop Number of people likely to shop

Answer 1

The Huffs Law assigns probabilities of a shopper shopping at a certain location based on the time taken to visit the location and the area allocated to the category which is being shopped for. This is given by the formula

Pij = (Sj/Tij/ s/T)

This can be applied to the data in the questions to calculate the probability of shopping and hence the expected number of shoppers in a given period.

1) The Denominator for the probability may be calculated as (10/200) + (30/650) + (120/2000) + (17/900) = 0.18

The answer hence for the data is given by the table below

	Store A	Store B	Store C	Store D
Drive Time	10	30	120	17
Sq Ft (Toys)	200	650	2000	900
Drive Time/ Sq Ft	0.05	0.05	0.06	0.02
% Shopping	29%	26%	34%	11%
Number	1428	1318	1714	540

2) We can apply the same principle to the data set in question 2 as well.

Denominator = (5/2350) + (20/54550) + (17/27600) = 0.0031

Here the potential customers are 8500 hence the percentage shopping is from this base

	Store A	Store B	Store C
Drive Time	5	20	17
Sq Ft Area	2350	54550	27600
Drive Time/ Sq Ft	0.0021	0.0004	0.0006
% Shopping	68%	12%	20%
Number	5815	1002	1683

3) We apply the same principle. Here the Sq Ft Area is replaced by the population of the community as the factor positively affecting the propensity to shop in that location

The table given below

	Russell	Marion	Midway
Drive Time	20	75	35
Population	47800	42500	200000
Drive Time/ Sq Ft	0.0004	0.0018	0.0002
% Shopping	18%	75%	7%
Number	2129	8980	891