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mel-nik [20]
4 years ago
10

Given the following information, formulate an inventory management system. The item is demanded 50 weeks a year. Item cost $ 8.0

0 Standard deviation of weekly demand 20 per week Order cost $ 207.00 Lead time 3 week(s) Annual holding cost (%) 24 % of item cost Service probability 99 % Annual demand 27,400 Average demand 548 per week a. Determine the order quantity and reorder point.
Business
1 answer:
Sphinxa [80]4 years ago
8 0

Answer:

Order quantity = 478units

Reorder point = 420 per week

Explanation:

Given

Item cost =$8

Standard deviation of weekly demand = 20 per week

Order cost(C) = $207

Lead time = 3 weeks

Annual holding cost (H) = 24% of item cost

Service probability = 99%

Annual demand(D) = 27,400

Average demand = 548 per week

Order quantity = sqrt[(2 × D × C) ÷ H]

Order quantity = sqrt[(2 × 27400 × 207) ÷ (0.24 × 207)]

sqrt[ 11343600 ÷ 49.68]

= 477.84

Order quantity = 478 units

Reorder Point = Lead time × daily usage

21 × 20 = 420

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Answer:

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To record the purchase of goods on account, terms 2/10, n/60.

Apr. 7: Debit Freight-in $80

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To record the payment for freight on goods.

Apr. 9: Debit Accounts Payable (Arnie Co.) $700

Credit Inventory $700

To record the return of goods on account.

Apr. 10: Debit Accounts Receivable $1,340

Credit Sales Revenue $1,340

To record the sale of goods on account, terms n/30.

Debit Cost of goods sold $920

Credit Inventory $920

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Apr. 12: Debit Inventory $1,050

Credit Accounts Payable (Woods Sportswear) $1,050

To record the purchase of goods on account, terms 2/10, n/30.

Apr. 14: Debit Accounts Payable (Arnie Co.) $1,800

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Apr. 17: Debit Accounts Payable (Woods Sportswear) $50

Credit Inventory $50

To record the return of goods on account.

Apr. 20: Debit Accounts Receivable (Members) $910

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Apr. 21: Debit Accounts Payable (Woods Sportswear) $1,000

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a) Data and Analysis:

Apr. 5: Inventory $2,500 Accounts Payable (Arnie Co.) $2,500, terms 2/10, n/60.

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Apr. 14: Accounts Payable (Arnie Co.) $1,800 Cash $1,764  Cash Discounts $36

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Cost of goods sold $550 Inventory $550

Apr. 21: Accounts Payable (Woods Sportswear) $1,000 Cash $980 Cash Discounts $20

Apr. 27: Sales Allowances $70 Accounts Receivable $70

Apr. 30: Cash $1,400 Accounts Receivable (Members) $1,400

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