Based on Kolesar and Blum (1973). Suppose that a company must service customers lying in an area of A square miles with n warehouses. Kolesar and Blum showed that when the warehouse(s) are located properly, the average distance between a warehouse and a customer is (Ayn)1y2. Assume that it costs the company $90,000 per year to maintain a warehouse and $400,000 to build a warehouse. Also, assume that a $5,000,000 building cost is equivalent to incurring a cost of $500,000 per year indefinitely. The company fills 180,000 orders per year, and the shipping cost per order is $1.25 per mile. If the company serves an area of 120 square miles, how many warehouses should it have?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Based on Kolesar and Blum (1973). Suppose that

a company must service customers lying in an area

of A square miles with n warehouses. Kolesar and

Blum showed that when the warehouse(s) are located

properly,

the average distance between a warehouse

and a customer is (Ayn)1y2. Assume that it costs the

company $90,000 per year to maintain a warehouse

and $400,000 to build a warehouse. Also, assume that

a $5,000,000 building cost is equivalent to incurring a

cost of $500,000 per year indefinitely. The company

fills 180,000 orders per year, and the shipping cost per

order is $1.25 per mile. If the company serves an area

of 120 square miles, how many warehouses should it

have?

 

Can the formulas also be shown?

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