Question

Hillside Manufacturing Company uses 2,000 units of bearings per year. The bearings are purchased from a supplier in Florida. The following information is known for the problem:

Annual demand, D 2.000 units $10
Purchase price per unit, P
Holding cost per unit per year expressed as a percent of per-unit purchase price 20% $125
Ordering cost per order. S
Lead time. L 6 days 250
Number of working days per year
Answer the following questions. Write your final answer only (without intermediate steps) for the fill-in-the-blank questions.
Question 2 (2 points) The holding cost (H) = $ A/ per unit per year. Use 2-decimal accuracy for the final answer, e.g., 0.12, when necessary.
Question 3 (2 points) The economic order quantity (EOQ) = units. Round the final answer (if it is not an integer) to the nearest integer.
Question 4 (2 points) Based on the EOQ, the average inventory = A units. Round the final answer (if it is not an integer) to the nearest integer.
Question 5 (2 points) A/ Total annual inventory holding cost = $ . Round the final answer (if it is not an integer) to the nearest integer.
Question 6 (2 points) The optimal number of orders per year = A orders. Round the final answer (if it is not an integer) to the nearest integer.
Question 7 (2 points) Total annual inventory cost (excluding the purchase cost) = $ A Round the final answer (if it is not an integer) to the nearest integer
Question 8 (2 points) A units. Round Reorder point (ROP) = the final answer (if it is not an integer) to the nearest integer.
Question 9 (2 points) If the management decides to order 2,000 units (instead of the EOQ quantity obtained above) per order, the total annual inventory cost (excluding the purchase cost) = $ A Round the final answer (if it is not an integer) to the nearest integer.

Answer 1

2. holding cost is $2

3. EOQ = 500 units

4. Average inventory = 250units

5. total annual hoding cost = $500

6. number of orders is 4

7. total annual inventory = $1000

8. reorder point = 48

9. $2125

Step-by-step explanation:

2. holding cost = 20% * $10

the holding cost is 20 percent of the purchase price for each unit

= 0.2*10

= $2.00

3. the EOQ

= 2*2000*$125/$2

= 250000

`EOQ=√(250000)`

= 500 units

4.average inventory = EOQ/2

= 500/2 = 250 units

5. total annual hoding cost = average inventory * holding cost

= 250*2

= $500

6. number of orders= 2000 units/EOQ

= 2000/500

= 4 0rders

7. total annual inventory cost = ordering cost annual + holding cost annual

ordering annual cost = 2000/500*125

= 500

total annual inventory cost = 500 + 500 = $1000

8. reorder point

wwe first calculate the daily demand; = 2000/250 = 8

ROP = 8*6 = 48

9. annual ordring = 2000/2000 * 125

= $125

annual holding = 2000/2 * holding cost of $2

= $2000

total annual inventory = 125 + 2000

= $2125