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Meyer Stores carries a specialty line of flavored syrups. One of the most popula

ID: 351923 • Letter: M

Question

Meyer Stores carries a specialty line of flavored syrups. One of the most popular of these is raspberry syrup which sells, on average, 20 bottles per week. Meyer’s cost is $11 per bottle. Meyer has determined its order cost to be $60 and inventory carrying cost is 20 percent. Meyer is open for business 52 weeks per year.

a. What is the EOQ for raspberry syrup? (Round up your answer to the next whole number.)

b. If Meyer orders the EOQ quantity each time, what will be the inventory turnover rate for raspberry syrup? (Hint: Inventory turnover = Annual sales in units / Average inventory in units.) (Round your answer to 2 decimal places.)

Explanation / Answer

Sales = 20 bottles per week

Number of weeks per year = 52

Annual sales(D) = 20 bottles x 52 = 1040 bottles

Ordering cost (S) = $60

Carrying cost (H) = 20% of cost = 20% of $11 = $2.2

a) Economic order quantity = sqrt of (2DS /H)

= sqrt of [(2x1040x60) /2.2]

= 238.17 or rounded to 239 bottles

b) If meyer orders the EOQ,

Average inventory = EOQ/2 = 239/2 = 119.5 bottles

Inventory turnover = Annual sales / Average inventory

= 1040 / 119.5

= 8.70