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SCM 370 -Homework 5 Inventory Management 1. Each year the Bluestone Company purc

ID: 352628 • Letter: S

Question

SCM 370 -Homework 5 Inventory Management 1. Each year the Bluestone Company purchases 2,793 bridles at a cost of $56.99 each. The cost of placing an order is $32, and the cost to hold the item for a year is 18% of the unit cost. Each year has 240 working days. Determine the economic order quantity, in bridles. a.240 bridles b. 183 bridles c. 132 bridles d. 114 bridles e. 97 bridles For the conditions of problem 2, what is the average number of bridles in inventory, assuming that the minimum inventory level is zero 132 bridles. c. 3,76 bridles d. 4,793 bridles e. 4,827 bridles A firm desires to control inventory levels so as to minimize the sum of holding and ordering costs. The firm estimates its inventory holding costs at $a/unit/year, and ordering cost at $50/order. Weelkly demand is fixed at 200 units and there are 50 weeks in the work year. (QUESTIONS 3, 4, 5) 3. a. What is the economical ordering quantity? 50 b. 1000c. 2000 d. 250 e. 500 4.What is the total annual holding cost? a. 50 b. 1000c, 2000 d. 250 e. 500 5. What is the total annual ordering cost? a. 6. If the Lead Time is exactly 4 weeks, and demand is known to he exactly 10 units per weck, then the reorder poin (ROP) should be: b.10 a. 20 d 40 44

Explanation / Answer

Daily Demand, d= 2793/240 = 11.64

Item Value , C = $56.99

Orderig Cost, S = $32 per order

Holding Cost , I = 18% per year = .18/240 =0.00075

Economic order Quantity , Q = sqrt(2*d*S/(I*C)) = 132

Answer C - 132  bridles

2. Average Inventory AIL = Q/2 = 132/2 = 66

Answer - A) 66 bridles

3.

No of weeks in year - 50

Inventory Holding Cost , IC = $4 unit per year= $ 4/50 unit per week

Ordering cost, S = $50 per order

weekly demand, d= 200

Economic order Quantity , Q = sqrt(2*d*S/(I*C)) = 500

Answer C = 500

4. Average Inventory, AIL = Q/2 = 250 per week

Average Inventory = 250

Annual Holding cost = 4 *250 = 1000

Answer B

5. Annual Ordering cost = (Anuual Demad ,D/Q)* S = (50*200/250)*50 = 2000

Answer C

6. LT = 4 , d= 10

ROP = d*LT +z*sd'

In this case sd'   = 0

ROP = d*LT = 40

Answe d 40