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vampirchik [111]
3 years ago
8

The Big Buy Supermarket stocks Munchies Cereal. Demand for Munchies is 4,000 boxes per year (365 days). It costs the store $60 p

er order of Munchies, and it costs $0.80 per box per year to keep the cereal in stock. Once an order for Munchies is placed, it takes 4 days to receive the order from a food distributor. Determine the following:
a. The optimal order size
b. The minimum total annual inventory cost
c. The reorder point
Business
1 answer:
Nady [450]3 years ago
5 0

Answer:

a. 775 units

b. $670

c. 44 units

Explanation:

a. The computation of the economic order quantity is shown below:

= \sqrt{\frac{2\times \text{Annual demand}\times \text{Ordering cost}}{\text{Carrying cost}}}

= \sqrt{\frac{2\times \text{4,000}\times \text{\$60}}{\text{\$0.80}}}

= 775 units

b. The minimum total annual inventory cost is

= Ordering cost + carrying cost

where,

Ordering cost =

The number of orders would be equal to

= Annual demand ÷ economic order quantity

= 4,000 ÷ 775 units

= 5.61 orders

Ordering cost = Number of orders × ordering cost per order

= 6 orders × $60

= $360

The carrying cost is

The average inventory would equal to

= Economic order quantity ÷ 2

= 775 units ÷ 2

= 387.5 units

The total cost of ordering cost and carrying cost equals to

Carrying cost = average inventory × carrying cost per unit

= 387.5 units × $0.80

= $310

So, the minimum total annual inventory cost is

= $360 + $310

= $670

The computation of the reorder point is shown below:

= Demand × lead time + safety stock

where, Demand equal to

= Expected demand ÷ total number of days in a year

= 4,000 ÷ 365 days

= 10.95890

So, the reorder point would be  

= 10.95890 × 4 + $0

= 44 units

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4 years ago
Fit World began January with merchandise inventory of 90 crates of vitamins that cost a total of $ 5,850. During the​ month, Fit
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Answer:

1. FIFO method

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B. Ending inventory is $6,020

C. Gross profit is $8,390

2. LIFO method

A. Cost of goods sold is $25,800

B. Ending inventory is $4,550

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A. Cost of goods sold is $24,655

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4. If the business wanted to pay least taxes, they should use LIFO method of inventory costing

Explanation:

1. Using FIFO method of inventory costing, the cost of goods sold is computed as follows:

Jan 05 sale 140 crates

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50 @ 76 = 3,800

Total $9,650

Jan 27 sale 180 crates

80 @ 76 = 6,080

100 @ 86 = 8,600

Total $14,680

Therefore, $9,650 + $14,680 = $24,330

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Beg 90 crates add total purchases of 300 crates total available crates is 390 less crates sold of 320 makes the inventory end reduce to 70 crates @ 86. Total amount of inventory at hand is 6,020.

3. Gross profit using FIFO method is computed as follows:

Total sales

Jan 05, 140 @ 100 = $14,000

Jan 27, 180 @ 104 = $18,720

Total amount of sales $32,720

Next, let’s deduct the computed cost of goods sold from total sales to arrive the gross profit. $32,720 - $24,330 = $8,390 (answer)

2. LIFO method (last purchases crates will be sold first)

Cost of goods sold:

Jan 05

130 @ 76 = 9,880

10 @ 65 = 650

total $10,530

Jan 27

170 @ 86 = 14,620

10 @ 65 = 650

total 15,270

total cost of goods sold $25,800

B. Ending inventory at hand using LIFO method

Beg inventory of 90 crates plus total purchases of 300 crates. Total available crates is 390 less total crates sold of 320 makes the ending inventory at hand reduce to 70 crates. Units per crates under this method is the oldest inventory per unit. This is because, under this method, all units sold are those purchased recently. So 70 crates x 65 = $4,550

C. Gross profit using LIFO

To compute the gross profit let’s deduct the cost of good sold computed above from the sales we already computed also.

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less: COGS $25,800

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3. WEIGHTED AVERAGE method

Using this method, please refer to the attached file for more clear explanation.

4. If the business wants to pay least tax, they should choose the method that has the least per unit cost of ending inventory at hand. Due to least amount of inventory at hand the cost of goods sold is higher which leads to lesser gross profit reported which result to least amount of tax liability.

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Answer:

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Explanation:

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