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Now suppose that tennis shirts for men and women are ordered jointly. Annual dem

ID: 2436383 • Letter: N

Question

Now suppose that tennis shirts for men and women are ordered jointly. Annual demand, joint order cost inventory-holding cost are summarized in Table3 Table 3: Ordering and inventory-holding cost Tennis shirts for men Tennis shirts for women Annual demand (units per year) oint order cost (S) Cost of product (S per unit) Inventory-holding cost (% of product cost) Dw = 3000 SMw 70 CM 40 Cw 60 hw-5096 (2) Calculate optimal order size (lot size), cycle inventory, order frequency, annual ordering cost, and annual inventory-holding cost. Enter the answers in the table below. Answers Tennis shirts for men Tennis shirts for womern Optimal order size (units per order) Cycle inventory (units) Order frequency (per year) Annual orderigcostper year) Annual inventory-holding cost (S per year)

Explanation / Answer

Information given

Men

Women

Demand

          2,000

       3,000

Joint Order Cost

               70

            70

Cost of Product

               40

            60

Inventory Holding cost

50%

50%

Therefore Inventory holding cost
(Cost of product * Inventory holding %)

               20

            30

Formulae

Men

Women

Optimal Order Size (Units per order)
[EOQ=Root of- 2 *Joint order cost* Demand size/ Inventory carrying cost]
(Eg- Men= Root of- 2*70*2000/20
Women= Root of- 2*70*3000/30)

             118

          118

Cycle Inventory (Units)
[Total Demand/ Optimal order size]
[Eg- Men= 2000/118
Women= 3000/118]

17    orders

26 orders

Order Frequency (per year)
( Assumed 365 days-52 sundays=313)
[Total number of days/ Orders per year]
[Eg- Men= 313/17
Women=313/26]

18.4 days

12 days

Annual Ordering cost ($ per year)
[Cost per order*Demand/ Optimal size of order]
[Eg- Men- 70*2000/118
Women- 70*3000/118

          1,187

       1,780

Annual Inventory Holding cost
[Inventory holding cost*Optimal Order size/2]
[Eg: Men= 20*118/2
Women= 30*118/2]

          1,180

       1,770

Please note the answer is as per my knowledge and formuale as studied by me

Information given

Men

Women

Demand

          2,000

       3,000

Joint Order Cost

               70

            70

Cost of Product

               40

            60

Inventory Holding cost

50%

50%

Therefore Inventory holding cost
(Cost of product * Inventory holding %)

               20

            30

Formulae

Men

Women

Optimal Order Size (Units per order)
[EOQ=Root of- 2 *Joint order cost* Demand size/ Inventory carrying cost]
(Eg- Men= Root of- 2*70*2000/20
Women= Root of- 2*70*3000/30)

             118

          118

Cycle Inventory (Units)
[Total Demand/ Optimal order size]
[Eg- Men= 2000/118
Women= 3000/118]

17    orders

26 orders

Order Frequency (per year)
( Assumed 365 days-52 sundays=313)
[Total number of days/ Orders per year]
[Eg- Men= 313/17
Women=313/26]

18.4 days

12 days

Annual Ordering cost ($ per year)
[Cost per order*Demand/ Optimal size of order]
[Eg- Men- 70*2000/118
Women- 70*3000/118

          1,187

       1,780

Annual Inventory Holding cost
[Inventory holding cost*Optimal Order size/2]
[Eg: Men= 20*118/2
Women= 30*118/2]

          1,180

       1,770

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