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20-28 MRP, EOQ, and JIT. Global Tunes Corp. produces J-Pods, music players that can download thousands of songs. Global Tunes forecasts that demand in 2011

20-28 MRP, EOQ, and JIT. Global Tunes Corp. produces J-Pods, music players that can download thousands of songs. Global Tunes forecasts that demand in 2011 will be 48,000 J-Pods. The variable production cost of each J-Pod is $54. Due to the large $10,000 cost per setup, Global Tunes plans to produce J-Pods once a month in batches of 4,000 each. The carrying cost of a unit in inventory is $17 per year. Required 1. Using an 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 Global Tunes has suggested that the company use the EOQ model to determine the optimal batch size to produce. (To use the EOQ model, Global Tunes 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

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