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A city bar has an annual demand of 9000 boxes , which it purchases at a...

A city bar has an annual demand of 9000 boxes , which it purchases at a price of 60 $ per box. The annual carrying cost is 8 $ and the cost per order is 160. The distribution has offered the bar a reduced price of 56$ per box if it orders a quantity of 300.

Should the bar take the discount ?

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Answer #1
EOQ = √((2x Annual demand x ordering cost)/ carrying cost per unit
EOQ = √((2x 9000 x 160)/ $8
EOQ = 600 boxes
Annual cost at EOQ -600 boxes
Annual Carrying cost (600/2)x8 2400
Ordering cost (9000/600)*160 2400
Annual cost at EOQ 4800
Annual cost at discount offer quantity (300 boxes)
Annual Carrying cost (300/2)x8 1200
Ordering cost (9000/300)*160 4800
Annual cost at EOQ 6000
Increase in Annual cost 1200
Saving on price reduction (9000x (60-56)) 36000
Net savings 34800
City bar should take the discount
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