Ivanhoe Company purchased a new machine on October 1, 2017, at a cost of $77,980. The company estimated that the machine has a s
1 answer:
Answer:
Depreciation for
2017 = $2,540
2018 = $10,160
Explanation:
Provided, Total cost of the machine = $77,980
Estimated salvage value = $6,860
Therefore, value to be depreciated = $77,980 - $6,860 = $71,120
Total life of asset = 7 years
Depreciation for the year 2017 = October to December = 3 months
Depreciation for the year 2018 = = $10,160
Under straight line method depreciation is fixed for each year, but in the given case in 2017 the asset is used only for 3 months, thus depreciation will be charged for 3 months only.
Final Answer
Depreciation for
2017 = $2,540
2018 = $10,160
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Answer:
The level of production x that will maximize the profit is: 22,966
Explanation:
C(x) = 50,000 + 100x + x³
R(x) = 3400x
P(x) = R(x) - C(x)
= 3400x - [50,000 + 100x + x³]
= 3400x - 50,000 - 100x - x³
= 3300x - 50,000 - x³ .................... (A)
P'(x) = 3300(1) - 0 - 3x²
= 3300 - 3x²
At a critical point, P'(x) = 0
∴ 0 = 3300 - 3x²
3x² = 3300
x² = 1100
x = ±
P"(x) = -6x
P() = -6 (
) < 0
by second derivative, 'P' max at x = = 33.17 (rounds)
since x = ,
recall that P(x) = 3300x - 50,000 - x³ from equation (A)
Therefore, Maximum Profit
P() = 3300
- 50000 -
= 3300(33.17) - 50,000 - 33.17³
= 109461 -50,000 - 36495.26
= 22,965.74
Maximum profit is 22,966 to the nearest whole number