SPC buys polystyrene resin from a supplier in 1000-pound units, and each unit co
ID: 351171 • Letter: S
Question
SPC buys polystyrene resin from a supplier in 1000-pound units, and each unit cost $20.00, and the percent holding cost is 10%. The fixed shipping cost per order is $300.If we assume that 1000 pounds of resin yields 1000 pounds of clear plastic, what are the following values for clear plastic?
Find:
A. Cycle Inventory
B. Holding Cost
C. Flow Time
Data:
- 1000-pound units
- $20.00 Cost per Unit
- 10%: Holding cost per year
- $300 Shipping cost
- Annual Demand:
- Black Plastic: 23,967
- Clear Plastic: 29,760
Explanation / Answer
A. Cycle Inventory is given by
Economic Ordered Quantity/2=[sqrt(2*Demand*FixedCost/Holding Cost)]/2
Demand=29760 units, Fixed Cost= $300, Holding cost=10% of 20 per unit=$2
Cycle Inventory=0.5*sqrt(2*29760*300/2)=1494 units (approx.)
B. Holding Cost = $2 as calculated in last part
C. Flow Time= Avg Inventory/Avg Flow Rate=Avg Inventory/Demand=Cycle Inventory/Demand
Flow Time=1494/29760=0.0502 yrs=0.0502*365=18.32 days
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