Garden Variety Flower Shop uses 850 clay pots a month. The pots are purchased at
ID: 352356 • Letter: G
Question
Garden Variety Flower Shop uses 850 clay pots a month. The pots are purchased at $3.50 each. Annual carrying costs per pot are estimated to be 30 percent of cost, and ordering costs are $20 per order. The manager has been using an order size of 1,500 flower pots. a.What additional annual cost is the shop incurring by staying with this order size? (Round your optimal order quantity to the nearest whole number. Round all other intermediate calculations and your final answer to 2 decimal places. Omit the "$" sign in your response.) Additional annual cost b.Other than cost savings, what benefit would using the optimal order quantity yield (relative to the order size of 1,500)? (Use the rounded order quantity fromn Part a. Round your final answer to the nearest whole percent. Omit the "%" sign in your response.) About % of the storage space would be needed.Explanation / Answer
Annual demand= 850*12=10,200
Purchase price= $3.50
Holding cost= $3.50*30%=$1.05
Ordering cost= $20
EOQ= (2*10,200*20/1.05)= 388,571= 623.35
Optimal order= 623
Annual cost in optimal order= 623/2*$1.05+10,200/623*$20= $327.08+$327.45=$654.53
Annual cost in present order size= 1500/2*$1.05+10,200/1500*$20= $787.5+$136=$923.5
Additional annual cost= $923.5-$654.53=268.97
B- Present storage space required for 750 and in optimal order storage space required for 311.5.
Storage space needed= 311.5/750*100=41.53
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