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I need the blue boxes filled out. Thanks! Develop a EOQ solution and calculate t

ID: 463495 • Letter: I

Question

I need the blue boxes filled out.

Thanks!

Develop a EOQ solution and calculate total relevant costs for the gross requirements in the following table*. Holding cost = S1.50'unit/week; setup cost = S150; lead time = 1 week; beginning inventory = 40. What is the average demand per week? (enter your responses with 2 decimal places): Q Calculate Economic Order Quantity (EOQ) (enter your responses as whole numbers), Develop a EOQ solution (enter your responses as whole numbers). Setup cost for 12 weeks is {enter your response as a whole number). Carrying cost for 12 weeks is (enter your response as a whole number). The total cost is (enter your response as a whole number).

Explanation / Answer

Total demand for 12 periods = 210

Average demand for 12 periods = 17.5

Economic order quantity is given by formula

EOQ = Q* = sqrt{ rac{2*A*S}{H}}

A = average demand = 17.5 units

S = Setup cost = $150

H = Holding cost = $1.50

Q* = sqrt{ rac{2*17.5*150}{1.5}}

Q* = 60 units

The MRP Schedule for the Item by applying EOQ lot sizing method is as follows:

Item

Lot Size: EOQ = 60

LT = 1 wk

Period

1

2

3

4

5

6

7

8

9

10

11

12

Gross Req.

20

0

30

0

40

20

20

0

10

20

0

50

Scheduled receipts

0

0

0

0

0

0

0

0

0

0

0

0

Projected-on-hand

40

20

20

50

50

10

50

30

30

20

0

0

10

Net Requirement

0

0

10

0

0

10

0

0

0

0

0

50

Planned order Receipts

0

0

60

0

0

60

0

0

0

0

0

60

Planned order releases

0

60

0

0

60

0

0

0

0

0

60

0

The projected-on-hand inventory for each period is ending inventory after consuming net requirement.

Total ending inventory or project-on-hand for 12 months = 290 units

Number of setup = 3

Set up cost for 12 months = 3 * $150 = $450

Carrying cost for 12 months = 290 x $1.50 = $43.5

Total cost of for MRP schedule = $493.5

Item

Lot Size: EOQ = 60

LT = 1 wk

Period

1

2

3

4

5

6

7

8

9

10

11

12

Gross Req.

20

0

30

0

40

20

20

0

10

20

0

50

Scheduled receipts

0

0

0

0

0

0

0

0

0

0

0

0

Projected-on-hand

40

20

20

50

50

10

50

30

30

20

0

0

10

Net Requirement

0

0

10

0

0

10

0

0

0

0

0

50

Planned order Receipts

0

0

60

0

0

60

0

0

0

0

0

60

Planned order releases

0

60

0

0

60

0

0

0

0

0

60

0