Answer:
Option d (501-600) is the correct answer.
Explanation:
Given:
Unit sales,
= 20,000
Ordering costs,
= $20
Carrying costs,
= $1
Safety stocks,
= 100
Now,
The EOQ will be:
= [tex]\sqrt{\frac{2\times Unit \ sales\times Ordering costs}{Carrying \ costs} }[/tex]
By putting the values, we get
= [tex]\sqrt{\frac{2\times 20000\times 20}{1} }[/tex]
= [tex]\sqrt{800000}[/tex]
= [tex]894.43 \ units[/tex]
hence,
The average inventory will be:
= [tex][Safety \ stock +(\frac{EOQ}{2} )][/tex]
= [tex][100+(\frac{894.43}{2} )][/tex]
= [tex][100+447.21][/tex]
= [tex]547.21[/tex] (lies between 501-600)
Thus the above is the correct response.