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Question Help gone out on bid for a reguator component. Expected demand is 700 u

ID: 430541 • Letter: Q

Question

Question Help gone out on bid for a reguator component. Expected demand is 700 units per month. The item can be purchased from either Alen Manufacturing or Baker Manufacturing. Their prioe lists are shown in the table. Ordering cost is $45, and annual holding cost per unit is $A Allen Mfg Baker Mfg Price Quantity Unit Price $16.10 15.60 15.10 Unit Price Quantity 1-499 500-999 000+ 1-399 15.50 15.00 400-799 800+ units (round your response o the nearest whole number, What is the economic order quantity if price is not a consideration?

Explanation / Answer

1. EOQ = [ 2 x demand per annum x ordering cost / holding cost per year]1/2

= [ 2x700x12x45/4]1/2 = 434.74 = 435

2. Allen Manufacturing shcould be used as it has lower per unit price.

3. Costs will all three options

Option A - using EOQ

No of orders - 12x700 /435 = 19.31 = 20

Ordering cost = 45x20 =900

Purchasing cost = 8400x16 =134400

Holding cost = 435/2x4 = 870

Total cost in case A = 900+870+134400 = 136170

Case B - Using quantity 500

Purchasing cost = 8400x15.5 = 130200

No. of orders = 8400/500 = 16.8 =17

Ordering cost = 17x45 = 765

Holding cost = 500/2 x 4 =1000

Total cost = 130200+765+1000 = 131965

Case C - Using quantity 1000

Purchasing cost = 8400x15 = 126000

Ordering cost = no of orders x45

no of orders = 8400/1000 =9

Ordering cost = 9x45 =405

Holding cost = 1000/2 x4 = 2000

Total cost in case C = 126000+405+2000 = 128405

Hence option C is the most lucrative with quantity 1000

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