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Homework answers / question archive / Joe's Bar (not its real name) uses 800 kegs of adult beverages per year on a continuous basis (assume 365 days of operations per year)

Joe's Bar (not its real name) uses 800 kegs of adult beverages per year on a continuous basis (assume 365 days of operations per year)

Finance

Joe's Bar (not its real name) uses 800 kegs of adult beverages per year on a continuous basis (assume 365 days of operations per year). The order cost is $50.00 per order and the carrying cost is $2.00 per unit. It takes 5 days to receive a shipment after an order has been placed (old Joe took this TQM course so he now believes in JIT inventory methods - in other words- assume no safety stock). 

a) Calculate the EOQ 

b) Determine the average level of inventory 

c) Determine the reorder point 

d) Compute the Total Cost of Inventory 

This is a continuation of the previous problem...

One year passes. Joe is now out of the hospital. Seems his delivery company went on strike and Joe ran out of the "adult beverages" just before Hells Angels arrived at his bar. Funny, they did not want to hear about JIT inventory ... bottom line: it was real ugly!

Now Joe has decided "the heck with JIT, I want two weeks safety stock!" What will be the new reorder point (in units) ?

pur-new-sol

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a) Computation of the economic order quantity (EOQ):-

EOQ = (2*Annual demand*Cost per order/Carrying cost per order)^(1/2)

= (2*800*50/2)^(1/2)

= 40,000^(1/2)

= 200 units

 

b) Computation average level of inventory:-

Average inventory = EOQ / 2

= 200 / 2

= 100 units

 

c) Computation of the reorder point:-

Reorder point = (Daily demand * Lead time) + Safety stock

= ((800/365) * 5) + 0

= 10.96 units

                       

d) Computation of the total cost of inventory:-

Total cost of inventory = (Average inventory * Carrying cost per order) + (Annual demand/EOQ*Cost per order)

= (100*2)+(800/200*50)

= 200+200

= 400

Computation of the new reorder point:-

New reorder point = Daily demand *( Lead time + Safety stock)

= (800/365) * (5 + 14)

= 2.19*19

= 41.61 units Or 42 units