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TStar is holding large number of products in their inventory. Having observed that ordering the products in different times increases the operational complexity, they decided

TStar is holding large number of products in their inventory. Having observed that ordering the products in different times increases the operational complexity, they decided to use a joint periodic review inventory control approach for some products that are grouped together. Products A and B fall in the same group. The detailed information for these products is presented in the table below. According to this answer the following questions. (5 points each)

Item

A

B

Demand forecasts, units/day

25

50

Error of the forecast, units/day

7

11

Lead time, days

21

21

Inventory carrying cost, %/year

24

24

Procurement cost, dollars/order/item

35

20

with a common cost of, dollars/order

-15

In-stock probability during order cycle plus lead time

95%

95%

Product value, dollars/unit

150

75

Selling days per year

365

365

  1. What is the common order review period in terms of days? (i.e., T)
  2. What is the length of the planning horizon?
  3. What is the regular stock needed for product A during the planning horizon?
  4. What is the safety stock needed for product A during the planning horizon?
  5. What is the maximum inventory level (M) for product A?
  6. What is the regular stock needed for product B during the planning horizon?
  7. What is the safety stock needed for product B during the planning horizon?
  8. What is the maximum inventory level (M) for product B?

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