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

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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.
 
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requirements
LOADING...
.
 
 
 

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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
6,600
 
J-pods.
Part 4
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.)
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.
3.
Techno Gadgets
is also considering switching from an MRP system to a JIT system. This will result in producing​ J-Pods in batch sizes of
330
​J-Pods and will reduce​ obsolescence, improve​ quality, and result in a higher selling price.
Techno Gadgets
will reduce setup time and setup cost. The new setup cost will be
$230
per setup. What is the annual cost of producing and carrying​ J-Pods in inventory under the JIT​ system?
4.
Compare the models analyzed in the previous parts of the problem. What are the advantages and disadvantages of​ each?
 
​(Round up the number of batches to the nearest whole​ number.)
 
The optimal number of batches that would be produced is
 
batches.

 

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