Techno Gadgets Corp. produces​ J-Pods, music players that can download thousands of songs. Techno Gadgets forecasts that demand in 2020 will be 19,800 ​J-Pods. The variable production cost of each​ J-Pod is $55. In its MRP​ system, due to the large $17,600 cost per​ setup, Techno Gadgets plans to produce​ J-Pods once a month in batches of 1,650 units. The carrying cost of a unit in inventory is $16 per year.   Read the requirements LOADING... .         Question content area bottom Part 1   Requirement 1. Using the MRP​ system, what is the annual cost of producing and carrying​ J-Pods in​ inventory? (Assume​ that, on​ average, half of the units produced in a month are in​ inventory.)   Begin by determining the​ formula, then calculate the annual cost of producing and carrying​ J-Pods in​ inventory, using an MRP system. ​(Round your answer to the nearest whole​ dollar.)               Cost of producing Total variable production cost + Total setup cost + Carrying cost   = and carrying $1,089,000 + $211,200 + $13,200 = $1,313,400   Part 2 Requirement 2. A new manager at Techno Gadgets has suggested that the company use the EOQ model to determine the optimal batch size to produce.​ (To use the EOQ​ model, Techno Gadgets needs to treat the setup cost in the same way it would treat ordering cost in a traditional EOQ​ model.) Determine the optimal batch size and number of batches. Round up the number of batches to the nearest whole number. What would be the annual cost of producing and carrying​ J-Pods in inventory if it uses the optimal batch​ size? Compare this cost to the cost calculated in requirement 1. Comment briefly.   Begin by selecting the formula used to calculate EOQ. ​(D=Demand in units for one​ year, P=Ordering cost per purchase​ order, C=Carrying cost of one unit in​ stock, Q=Any order​ quantity.)   ModifyingAbove EOQ equals StartRoot StartFraction 2 DP Over Upper C EndFraction EndRoot With Subscript   EOQ=2DPC    Part 3 ​(Round your final answer to the nearest whole​ number.)   The optimal batch size is   J-pods.

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Your Question:
Techno Gadgets
Corp. produces​ J-Pods, music players that can download thousands of songs.
Techno Gadgets
forecasts that demand in
2020
will be
19,800
​J-Pods. The variable production cost of each​ J-Pod is
$55.
In its MRP​ system, due to the large
$17,600
cost per​ setup,
Techno Gadgets
plans to produce​ J-Pods once a month in batches of
1,650
units. The carrying cost of a unit in inventory is
$16
per year.
 
Read the
requirements
LOADING...
.
 
 
 
 

Question content area bottom

Part 1
 
Requirement 1. Using the MRP​ system, what is the annual cost of producing and carrying​ J-Pods in​ inventory? (Assume​ that, on​ average, half of the units produced in a month are in​ inventory.)
 
Begin by determining the​ formula, then calculate the annual cost of producing and carrying​ J-Pods in​ inventory, using an
MRP
system. ​(Round your answer to the nearest whole​ dollar.)
 
 
 
 
 
 
 
Cost of producing
Total variable production cost
+
Total setup cost
+
Carrying cost
 
=
and carrying
$1,089,000
+
$211,200
+
$13,200
=
$1,313,400
 
Part 2
Requirement 2. A new manager at
Techno Gadgets
has suggested that the company use the EOQ model to determine the optimal batch size to produce.​ (To use the EOQ​ model,
Techno Gadgets
needs to treat the setup cost in the same way it would treat ordering cost in a traditional EOQ​ model.) Determine the optimal batch size and number of batches. Round up the number of batches to the nearest whole number. What would be the annual cost of producing and carrying​ J-Pods in inventory if it uses the optimal batch​ size? Compare this cost to the cost calculated in requirement 1. Comment briefly.
 
Begin by selecting the formula used to calculate
EOQ.
​(D=Demand
in units for one​ year,
P=Ordering
cost per purchase​ order,
C=Carrying
cost of one unit in​ stock,
Q=Any
order​ quantity.)
 
ModifyingAbove EOQ equals StartRoot StartFraction 2 DP Over Upper C EndFraction EndRoot With Subscript   EOQ=2DPC 
 
Part 3
​(Round your final answer to the nearest whole​ number.)
 
The optimal batch size is
 
J-pods.

 

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