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Shtirlitz [24]
3 years ago
10

Alfred Home Construction is considering the purchase of five dumpsters and the transport truck to store and transfer constructio

n debris from building sites. The entire rig is estimated to have an initial cost of $125,000, a life of 8 years, a $5000 salvage value, an operating cost of $40 per day, and an annual maintenance cost of $2000. Alternatively, Alfred can obtain the same services from the city as needed at each construction site for an initial delivery cost of $125 per dumpster per site and a daily charge of $20 per day per dumpster. An estimated 45 construction sites will need debris storage throughout the average year. If the minimum attractive rate of return is 12% per year, how many days per year must the equipment be required to justify its purchase?
Business
1 answer:
Neporo4naja [7]3 years ago
5 0

Answer:

If the total number of days per year is 1,419 or less, then the company should obtain the services from the city. But if the total number of days per year is 1,420 or more, then the company should purchase the equipment.

Explanation:

alternative 1:

initial outlay = $125,000

useful life 8 years

depreciation per year = ($125,000 - $5,000) / 8 = $15,000

costs:

$40 per day

maintenance $2,000 per year

total annual costs = $40x + $2,000

alternative 2:

$125 x 45 sites = $5,625

$20x

total annual costs = $5,625 + $20x

how large does x need to be in order for alternative 1 to be better using a 12% discount rate

cash flows

year 0 = ($125,000)

year 1 = $40x + $2,000 - $5,625 - $20x = $20x - $3,625  

year 2 = $20x - $3,625

year 3 = $20x - $3,625

year 4 = $20x - $3,625

year 5 = $20x - $3,625

year 6 = $20x - $3,625

year 7 = $20x - $3,625

year 8 = $20x - $3,625 + $5,000 = $20x + $1,375

I used the present value of an annuity formula, to determine the value of cash flow:

the PV annuity factor for 12% and 7 periods is 4.5638, so:

24,756.20 x 4.5638 = $112,982

$29,756.20 / (1.12⁸) = $12,018

total = $125,000

$20x - $3,625 = 24,756.20

$20x = $28,381.20

x = $28,381.20 / $20 = 1,419.06 days (including all 45 sites)

That means that if the total number of days per year is 1,419 or less, then the company should obtain the services from the city. But if the total number of days per year is 1,420 or more, then the company should purchase the equipment.

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The accounts receivable aging report:
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Sandhill Warehouse distributes hardback books to retail stores and extends credit terms of 2/10, n/30 to all of its customers. D
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Answer:

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Journal Entries:

June 1:

Debit Inventory Account $2,575

Credit Accounts Payable (Catlin Publishers)

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

June 3:

Debit Accounts Receivable (Garfunkel Bookstore) $1,300

Credit Sales $1,300

To record sales of books on account.

Debit Cost of Goods Sold $900

Credit Inventory Account $900

To record cost of books sold.

June 6:

Debit Accounts Payable (Catlin Publishers) $75

Credit Inventory Account $75

To record credit for books returned.

June 9:

Debit Accounts Payable (Catlin Publishers) $2,500

Credit Cash Discount $50

Credit Cash Account $2,450

To record payment on account.

June 15:

Debit Cash Account $1,300

Credit Accounts Receivable (Garfunkel Bookstore) $1,300

To record cash receipt on account.

June 17:

Debit Accounts Receivable (Bell Tower) $1,150

Credit Sales Account $1,150

To record books sold on account.

Debit Cost of Goods Sold $750

Credit Inventory Account $750

To record cost of books sold.

June 20:

Debit Inventory Account $900

Credit Accounts Payable (Priceless Book Publishers) $900

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June 24:

Debit Cash Account $1,127

Debit Cash Discount $23

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June 26:

Debit Accounts Payable (Priceless Book Publishers) $900

Credit Cash Discount $27

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June 28:

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Credit Sales $1,900

To record sale of books on account.

Debit Cost of Goods Sold $970

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To record cost of returned books.

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3. Return on Purchases reverses the entries made when goods were purchased.

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5. Bell Tower paid within 10 days and enjoyed the 2% cash discount.

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