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Svetllana [295]
3 years ago
6

Russell Preston delivers parts for several local auto parts stores. He charges clients $1.30 per mile driven. Russell has determ

ined that if he drives 3,500 miles in a month, his average operating cost is $0.85 per mile. If he drives 4,500 miles in a month, his average operating cost is $0.75 per mile. Use this information and the high-low method to determine that his monthly cost equation is: total cost = $1,220.00 + $0.29 per mile.
A. Determine how many miles Russell needs to drive to break even?
B. Assume Russell drove 2,500 miles last month. Without making any additional calculations, determine whether he earned a profit or a loss last month.
C. Determine how many miles Russell must drive to earn $2,135.00 in profit.
D. Prepare a contribution margin income statement assuming Russell drove 2,500 miles last month.
E. Use the above information to calculate Russell’s degree of operating leverage.
Business
1 answer:
Lapatulllka [165]3 years ago
8 0

Answer:

A. Determine how many miles Russell needs to drive to break even?

break even formula = total fixed costs / contribution margin

  • total fixed costs = $1,220
  • contribution margin = $1.30 - $0.29 = $1.01

break even formula = $1,220 / $1.01 = 1,207.9 ≈ 1,208 miles

B. Assume Russell drove 2,500 miles last month. Without making any additional calculations, determine whether he earned a profit or a loss last month.

if he drove 2,500 he made a profit because it is more than the break even point.

C. Determine how many miles Russell must drive to earn $2,135.00 in profit.

($1,220 + $2,135) / $1.01 = 3,321.7 ≈ 3,322 miles

D. Prepare a contribution margin income statement assuming Russell drove 2,500 miles last month.

total revenue                         $3,250

<u>- variable costs                       ($725)</u>

contribution margin              $2,525

<u>- fixed costs                         ($1,220)</u>

net income                            $1,305

E. Use the above information to calculate Russell’s degree of operating leverage.

Degree of operating leverage = contribution margin / operating income = $2,525 / $3,250 = 0.7769 or 77.69%

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Why does the monthly payment plan have less total cash outflow each​ year?

  • The monthly payment has a higher total cash outflow ($6,373.56 higher than $5,641.24), it is not lower. Since the compounding period is shorter, more interest is charged.

What will Sam have to pay for this equipment if the loan calls for semiannual payments ​(2 per​ year)?

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Explanation:

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PV annuity factor (5%, 12 periods) = 8.86325

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3 years ago
Plainville Corporation has the following data, in thousands. Assuming a 365-day year, what is the firm's cash conversion cycle?
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Answer:

Inventory cycle  = <u>Inventory </u>               x 365  days

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Inventory cycle  = <u>$75,000</u>     x 365 days

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                            = <u>$160,000</u>   x 365 days

                               $600,000  

                            =  97.33 days

Payable days      = <u>Accounts payable</u>  x 365 days

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                            = <u>$25,000 </u>    x 365 days

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= 76.04 days + 97.33 days - 25.35 days

=  148.0 days

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Cash conversion cycle is calculated as raw inventory cycle plus receivable days minus payable days. Inventory cycle is the ratio of inventory to cost of goods sold multiplied by number of days in a year. Receivable days refer to the ratio of accounts receivable to sales multiplied by number of days in a year. Payable day is the ratio of accounts payable to cost of goods sold multiplied by number of days in a year.

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Now put these values to the above formula

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