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KatRina [158]
2 years ago
6

On February 1, 2021, Arrow Construction Company entered into a three-year construction contract to build a bridge for a price of

$8,000,000. During 2021, costs of $2,000,000 were incurred with estimated costs of $4,000,000 yet to be incurred. Billings of $2,500,000 were sent, and cash collected was $2,250,000. In 2022, costs incurred were $2,500,000 with remaining costs estimated to be $3,600,000. 2022 billings were $2,750,000, and $2,475,000 cash was collected. The project was completed in 2023 after additional costs of $3,800,000 were incurred. The company’s fiscal year-end is December 31. Arrow recognizes revenue over time according to percentage of completion.Calculate the amount of revenue and gross profit or loss to be recognized in each of the three years.
Business
1 answer:
faltersainse [42]2 years ago
7 0

Answer:

2021

revenue                 2,666,667

we have cost for <u>  2,000,000  </u>

income for                666,667

2022

revenue                     3.278.400‬

cost                       <u>     2,500,000    </u>

income                          778.400‬

2023

revenue          2,054,933‬

cost             <u>    3,800,000   </u>

loss                   1,745,067‬

Explanation:

2,000,000/ (2,000,000 + 4,000,000) = 1/3

in 2021 a third of the contract was complete therefore we recognize a third of revenue:

8,000,000 x 1/3 = 2,666,667

we have cost for   2,000,000

income for                666,667

2,500,000 / (2,500,000 + 3,600,000) = 0,4098

we recognize revenues for 40.98 of the total contract value.

8,000,000 x 40.98 = 3.278.400‬

cost                       <u>     2,500,000    </u>

income                          778.400‬

2023

we recognize the remaining revenue.

8,000,000 - 2,666,667 - 3,278,400 = 2.054.933‬ revenue

cost 3,800,000

loss   1,745,067‬

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Answer:

The step by step answer to your problem is given below:

Explanation:

1A) Break even point for option 1:    

Sales- Variable cost= Fixed cost    

Q* $950-Q*$760= $7410    

Q*$190= $7410  

Q=$7410/$190  

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1B) Breakeven point for Option 2    

Sales- variable cost-rent cost= 0    

Q*$950- $760*Q- (Q*950*10%)= 0    

95Q= 0    

Q= 0

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Operating income under Option 1 = $190Q - $7140

Operating income under Option 2 = $95Q

We have to find Q such that $190Q - $7140 = $95Q

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For Q = 78 Carpets, operating income under both option 1 and 2 will be = $7410

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For Q > 78, say 79 carpets:

Option 1 gives operating income= (190*79) - 7410= $7600

Option 2 gives operating income= 95*79= $7505

So color rugs will prefer Option 1.

For Q < 78, say 77 carpets:

Option 1 gives operating income= (190*77) - 7410= $7220

Option 2 gives operating income= 95*77= $7315

So color rugs will prefer Option 2.

3. Calculate the degree of operating leverage at sales of 65 units for the two rental options.

Operating Leverage= \frac{Contribution margin}{Operating Income}

= Contribution margin per unit x Numbers of Carpet Sold= Contribution Margin

Under Option 1,

Contribution Margin per unit= $950-$760=$190,

Operating income= $190*65-$7410= $4940.

Degree of Operating Leverage= \frac{190*65}{6175}

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Under Option 2,

Contribution Margin per unit= $950-$760-$760-0.10*$950=$95,

Operating income= $95x65-$0= $6175.

\frac{95*65}{6175}

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4. Briefly explain and interpret your answer to requirement 3.

The degree of operating leverage helps managers calculate and anticipate the effects of fluctuations in sales on operating income. The calculation in requirement 3 show that when sales are 65 units, a % change in sales and contribution margin will result in 2.5 times that % change in operating income for option 1. But the same % change in Option 2 because there are no fix costs attached in option 2.

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