A locally owned department store samples two customers in each of five geographic areas to estimate consumer spending in its home appliances department. It is estimated that these customers are a good sample of the 10,000 customers the store serves. The number of customers in each area is C₁= 1,500, C₂= 2,500, C₃ =1,000, C₄ =3,000, and C₅ =2,000. It is found that the two consumers have the following budgets in dollars for home appliances per year: B₁₁= 100, B₁₂ =150; B₂₁= 75, B₂₂ =100; B₃₁ =125, B₃₂ =125; B₄₁ =100, B₄₂ =120; and B₅₁ =120, B₅₂ =125.

a. Using the Huff retail location model, estimate annual home appliance sales for the store.

b. Bull’s-Eye, a chain department store, opens a branch in a shopping complex near by. The Bull’s-Eye branch is three times larger than the locally owned store. The travel times in minutes from the five areas to the two stores ( j 1 for the locally owned store,   Use the Huff retail location model to estimate the annual consumer expenditures in the home appliance section of each store assuming that x= 1.