A private warehouse has an annual throughput of 20,000 items and an average material handling cost per item of $0.25/ft. The warehouse size is to be 90,000 sq. ft. Annual construction and maintenance costs are $500/ft. of perimeter.   1. If the loading and unloading dock is to be located at location X, a warehouse corner, what are the best width and length of the warehouse? - 341 x 264 feet - 541 x 166 feet - 441 x 204 feet - 141 x 638 feet - 241 x 374 feet - 641 x 140 feet

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use the following information for the next 3 problems:
A private warehouse has an annual throughput of 20,000 items and an average material handling cost per item of $0.25/ft. The warehouse size is to be 90,000 sq. ft. Annual construction and maintenance costs are $500/ft. of perimeter.

 

1. If the loading and unloading dock is to be located at location X, a warehouse corner, what are the best width and length of the warehouse?

- 341 x 264 feet
- 541 x 166 feet
- 441 x 204 feet
- 141 x 638 feet
- 241 x 374 feet
- 641 x 140 feet
 
2. If the loading and unloading dock is to be located at location Y, a warehouse side, what are the best width and length of the warehouse?

- 500 x 180 feet
- 600 x 150 feet
- 100 x 900 feet
- 300 x 300 feet
- 200 x 450 feet
- 400 x 225 feet
 
3. If the loading and unloading dock is to be located at location Y, a warehouse side, what is the total cost for the optimal sized facility?

- $750,000
- $1,150,000
- $1,350,000
- $1,550,000
- $950,000
- $1,750,000
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