Curtiss Construction Company, Inc., entered into a fixed-price contract with Axelrod Associates on July 1, 2016, to construct a
four-story office building. At that time, Curtiss estimated that it would take between two and three years to complete the project. The total contract price for construction of the building is $4,000,000. Curtiss concludes that the contract does not qualify for revenue recognition over time. The building was completed on December 31, 2018. Estimated percentage of completion, accumulated contract costs incurred, estimated costs to complete the contract, and accumulated billings to Axelrod under the contract were as follows:
At 12-31-2016 At 12-31-2017 At 12-31-2018
Percentage of completion 10% 60% 100%
Costs incurred to date $350,000 $2,500,000 $4,250,000
Estimated costs to complete 3,150,000 1,700,000 0
Billings to Axelrod, to date 720,000 2,170,000 3,600,000
Required:
1. Compute gross profit or loss to be recognized as a result of this contract for each of the three years.
Year Gross Profit (Loss) Recognized
2016
2017
2018
Total project profit (loss)
2. Assuming Curtiss recognizes revenue over time according to percentage of completion, compute gross profit or loss to be recognized in each of the three years.
Year Gross Profit (Loss) Recognized
2016
2017
2018
3. Assuming Curtiss recognizes revenue over time according to percentage of completion, compute the amount to be shown in the balance sheet at the end of 2016 and 2017 as either cost in excess of billings or billings in excess of costs.
Balance Sheet (Partial) 2016 2017
Current assets:
Current liabilities:
At 12-31-2016 At 12-31-2017 At 12-31-2018
Percentage of completion 10% 60% 100%
Costs incurred to date $350,000 $2,500,000 $4,250,000
Estimated costs to complete 3,150,000 1,700,000 0
Billings to Axelrod, to date 720,000 2,170,000 3,600,000
Required:
1. Compute gross profit or loss to be recognized as a result of this contract for each of the three years.
Year Gross Profit (Loss) Recognized
2016
2017
2018
Total project profit (loss)
2. Assuming Curtiss recognizes revenue over time according to percentage of completion, compute gross profit or loss to be recognized in each of the three years.
Year Gross Profit (Loss) Recognized
2016
2017
2018
3. Assuming Curtiss recognizes revenue over time according to percentage of completion, compute the amount to be shown in the balance sheet at the end of 2016 and 2017 as either cost in excess of billings or billings in excess of costs.
Balance Sheet (Partial) 2016 2017
Current assets:
Current liabilities:
1 answer:
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Answer: The change in revenue for the sale of 1 more doghouse $ 66.67 dollars
Explanation: Differential is a function that can be used to approximate function value with a great degree of accuracy. This is done by the following.
Mathematical definition of derivative: f'(x) = lim f(x+Δx) - f(x)/Δx.
If Δx is very small:
f'(x) . Δx ≅ f(x+Δx) - f(x)
Knowing that Δy ≅ f(x+Δx) - f(x) and the diferential of variable x can be written by dx as the variable y can be dy:
dy = f'(x) dx
which means that the differential dy is approximately equal to the change Δy, if Δx is very small.
For the question, R(x) = y(x) = 14,000ln(0.01x+1)
f'(x) =
Using the chain rule, the derivative will be:
f'(x) = 14,000.
dy = 14,000..dx
dx is the change in x. For the question, the change is 1 (1 more doghouse) and x is 110:
dy = 14,000
dy =
dy = 66.67
The change in revenue is $66.67 dollars.