A current warehouse system has eight warehouses with $3,250$ units at each warehouse.

a$.$ If the company desires to change the number of warehouses to become more centralized and keep the

same customer service level, determine the average warehouse inventory level, using five warehouses

and the square root rule. Do not round intermediate calculations. Round your answer to the nearest

whole number.

units

b$.$ If the company desires to change the number of warehouses to become more centralized and keep the

same customer service level, determine the average warehouse inventory level, using three

warehouses and the square root rule. Do not round intermediate calculations. Round your answer to

the nearest whole number.

units

c$.$ What is the percentage reduction in system inventory for the two systems above, compared to the

original system? Do not round intermediate calculations. Round your answers to two decimal places.

Enter your answers as positive values.

$5$ warehouses vs$.8$ warehouses:

$\%$

$3$ warehouses vs$.8$ warehouses:

$\%$