In: Operations Management
Determine which shipping alternative would be most economical to
ship 55 boxes of parts when each box has a price of $270 and
holding costs are 30 percent of price, given this shipping
information: overnight, $365, two-day, $225, six-day, $255.
(Round your intermediate calculations to 2 decimal
places.)
Overnight
Two-day
Six-day
Demand = 55
Price = 270
Holding Cost = 30% of 270 = 81
Ordering costs-
Overnight delivery = 365
Two Day = 225
Six Days = 255
EOQ for Overnight Delivery = sqrt(2*Demand*Ordering Cost/Holding Cost) = sqrt(2*55*365/81) = 22.26 ~ 23
Total Cost = Total Ordering Cost + Total Holding Cost = Demand*Ordering Cost/EOQ + EOQ*Holding Cost/2 = 55*365/23 + 23*81/2 = 1804.326
EOQ for Two Day Delivery = sqrt(2*Demand*Ordering Cost/Holding Cost) = sqrt(2*55*225/81) = 17.48 ~ 18
Total Cost = Total Ordering Cost + Total Holding Cost = Demand*Ordering Cost/EOQ + EOQ*Holding Cost/2 = 55*225/18 + 18*81/2 = 1416.5
EOQ for Six Day Delivery = sqrt(2*Demand*Ordering Cost/Holding Cost) = sqrt(2*55*255/81) = 18.6 ~ 19
Total Cost = Total Ordering Cost + Total Holding Cost = Demand*Ordering Cost/EOQ + EOQ*Holding Cost/2 = 55*255/19 + 19*81/2 = 1507.658
On comparing Total Cost in each alternative we shall find that the alternative of choosing Two Day delivery is less expensive.
Answer: Two Day Deliver
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