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Lana71 [14]
2 years ago
9

Item Hare’s Net Book Value on the Date of Sale List Price of Same Item If New Appraiser’s Estimate of Fair Value Punch press $ 1

0,250 $ 19,000 $ 16,000 Lathe 8,250 9,000 5,000 Welder 2,730 5,000 3,050 Required: a. Calculate the amount that should be recorded by Crow Co. as the cost of each piece of equipment
Business
1 answer:
Zinaida [17]2 years ago
7 0

Answer:

  • Punch Press - $12,502
  • Lathe - $3,908.52
  • Welder - $2,344.36

Explanation:

Cost will be allocated based on proportion of total Appraiser's estimate of fair value.

Total Appraisal Estimate = 16,000 + 5000 + 3,050

= $24,050

Total Purchase Price = Purchase price + Installation cost

=17,000 + 1,800

=$18,800

Punch Press

Punch Press proportion = \frac{16,000}{24,050} * 100

= 66.5%

Punch Press Cost = 66.5% * 18,800

= $12,502

Lathe

Lathe proportion = \frac{5,000}{24,050} * 100

= 20.79%

Punch Press Cost = 20.79% * 18,800

= $3,908.52

Welder

Welder proportion = \frac{3,000}{24,050} * 100

= 12.47%

Punch Press Cost = 12.47% * 18,800

= $2,344.36

Note; There are multiple variants of this question so be sure to check the figures to ensure it is the right one.

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Explanation:

Given : The marginal cost function : C′​(x)=4000−0.4x

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Now, the additional cost incurred in dollars when production is increased from 100 units to 150 units will be:-

\int^{150}_{100}\ C'(x)\ dx\\\\=\int^{150}_{100} (4000-0.4x)\ dx\\\\=[4000x-\dfrac{0.4x^2}{2}]^{150}_{100}\\\\=[4000(150)-\dfrac{0.4(150)^2}{2}-4000(100)+\dfrac{0.4(100)^2}{2}]\\\\=[600000-4500-400000+2000]\\\\=197500

Hence, the additional cost incurred in dollars when production is increased from 100 units to 150 units= $197,500

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\int^{550}_{500}\ C'(x)\ dx\\\\=\int^{550}_{500} (4000-0.4x)\ dx\\\\=[4000x-\dfrac{0.4x^2}{2}]^{550}_{500}\\\\=[4000(550)-\dfrac{0.4(550)^2}{2}-4000(500)+\dfrac{0.4(500)^2}{2}]\\\\=[2200000-60500-2000000+50000]\\\\=189,500

Hence, the additional cost incurred in dollars when production is increased from 500 units to 550 units = $ 189,500

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