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QUESTION 13 1. A toy manufacturer makes its own wind-up motors, which are then p

ID: 406555 • Letter: Q

Question

QUESTION 13

1.       A toy manufacturer makes its own wind-up motors, which are then put into its toys. While the toy manufacturing process is continuous, the motors are intermittent flow. Data on the manufacture of the motors appears below.

Annual demand (D) = 50,000 units                             Daily subassembly production rate = 1,000

Setup cost (S) = $85 per batch                                        Daily subassembly usage rate = 200

Carrying cost = $.20 per unit per year

What is the average inventory for this problem?

20 points   

QUESTION 14

1.       A toy manufacturer makes its own wind-up motors, which are then put into its toys. While the toy manufacturing process is continuous, the motors are intermittent flow. Data on the manufacture of the motors appears below.

Annual demand (D) = 50,000 units                             Daily subassembly production rate = 1,000

Setup cost (S) = $85 per batch                                        Daily subassembly usage rate = 200

Carrying cost = $.20 per unit per year

What is the total annual inventory cost (holding plus setup) of the optimal behavior in this problem?

Explanation / Answer

1) The Economic order quantity

EOQ =

D = 50,000 units

C0 = $85 per batch         

Ch = $.20 per unit per year              

EOQ = 652 units

Average Inventory = EOQ /2

Average Inventory = 326 units

2) The total annual inventory cost = Setup cost (S) + Carrying cost

No of setups per year = Annual demand / Economic Order size

No of setups per year = 50,000 / 652

No of setups per year = 76.68

Setup cost = 76.68 X $ 85 per batch

Setup cost = $ 6,518.40

Carrying cost = cost of carrying one unit X average inventory

Carrying cost = $ 20 X 326 units

Carrying cost = $ 6,520

Total cost = $ 6,518.40 + $ 6,520

Total cost = $ 13,038.40

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