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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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denpristay [2]

Answer:

CD City

a. Journal Entries, using perpetual inventory system:

July 3:

Debit Inventory $1,350

Credit Accounts Payable (Wholesale Music) $1,350

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

July 4:

Debit Freight-in $110

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July 11:

Debit Accounts Payable (Wholesale Music) $1,150

Credit Cash Discount $23

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July 12:

Debit Accounts Receivable $3,900

Credit Sales $3,900

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Credit Inventory $2,050

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July 15:

Debit Cash $3,900

Credit Accounts Receivable $3,900

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July 18:

Debit Inventory $2,150

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July 22:

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Debit Accounts Payable (Music Supply) $110

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July 30:

Debit Accounts Payable (Music Supply) $2,040

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Sales                              $7,150

Cost of Goods Sold = ($3,600)

Gross Profit             = $3,550

Explanation:

a) Sales

July 12 =  $3,900

July 22 = $3,250

Total $7,150

b) Inventory

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July 9 return         =       -200

July 12 cost of sales  -2,050

July 18 purchase   =     2,150

July 22 cost of sales  -1,550

July 28 return       =        -110

Ending Balance    =  $2,040

c) Cost of Goods Sold

July 12 cost of sales  $2,050

July 22 cost of sales    1,550

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