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s2008m [1.1K]
3 years ago
8

Lindon Company is the exclusive distributor for an automotive product that sells for $44.00 per unit and has a CM ratio of 30%.

The company’s fixed expenses are $283,800 per year. The company plans to sell 25,100 units this year. Required: 1. What are the variable expenses per unit? (Round your "per unit" answer to 2 decimal places.) 2. What is the break-even point in unit sales and in dollar sales? 3. What amount of unit sales and dollar sales is required to attain a target profit of $151,800 per year? 4. Assume that by using a more efficient shipper, the company is able to reduce its variable expenses by $4.40 per unit. What is the company’s new break-even point in unit sales and in dollar sales? What dollar sales is required to attain a target profit of $151,800?
Business
2 answers:
vlada-n [284]3 years ago
7 0

Answer:

1. $30,80

2. 21,500 units and $946,000

3. 33,000 units and $1,452,000

4. 16,125 units and $709,500 , $1,089,000

Explanation:

<u>The variable expenses per unit</u>

First determine the variable expenses ratio

Variable expenses ratio = 1 - CM ratio

                                        = 1-0.30

                                        = 0.70

Variable expenses per unit = $44.00 ×0.70

                                             = $30,80

<u>Break-even point in unit sales and in dollar sales</u>

break-even point in unit sales  = Fixed Costs / Contribution per Unit

                                                   = $283,800/ ($44.00×30%)

                                                   = $283,800/$13.20

                                                   = 21,500

break-even point in in dollar sales = Fixed Costs / Contribution Margin Ratio

                                                         = $283,800/0.30

                                                         = $946,000

<u>Amount of unit sales and dollar sales is required to attain a target profit of $151,800 per year</u>

Target Sales (Unit Sales) = Fixed Costs + Target Profit / Contribution per Unit

                                          = ($283,800 + $151,800) / $13.20

                                          = 33,000

Target Sales (Dollar Sales) = Fixed Costs + Target Profit / Contribution Margin Ratio

                                           = ($283,800 + $151,800) / 0.30

                                           = $1,452,000

<u>the company’s new break-even point in unit sales and in dollar sales</u>

break-even point in unit sales  = Fixed Costs / Contribution per Unit

                                                   = $283,800/ ($44.00-$30,80+$4.40)

                                                   = $283,800/$17,60

                                                   = 16,125

break-even point in in dollar sales = Fixed Costs / Contribution Margin Ratio

                                                         = $283,800/($17,60/$44.00)

                                                         = $283,800/0.40

                                                         = $709,500

<u>dollar sales is required to attain a target profit of $151,800</u>

Target Sales (Dollar Sales) = Fixed Costs + Target Profit / Contribution Margin Ratio

                                           = ($283,800 + $151,800) / 0.40

                                           = $1,089,000

Serga [27]3 years ago
3 0

Answer:

<em><u>current scenario</u></em>

Variable cost: $30.80

BEP in dollar $946.000‬

Sales to profit of 151,800:   $   1,452,000

<u><em>if variable cost decrease by $4.40</em></u>

BEP $709,500

to profit: $1,089,000

Explanation:

the Contribution margin ratio is what is left fro mthe sales price after paying the variable cost:

Sales \: Revenue - Variable \: Cost = Contribution \: Margin

\frac{Contribution \: Margin}{Sales \: Revenue} = Contribution \: Margin \: Ratio

( 44 - variable cost ) / 44 = 0.3

44 - 0.3 x 44 = variable cost = 30,80

The break even point is the sales volume at which the operating income is zero:

\frac{Fixed\:Cost}{Contribution \:Margin \:Ratio} = Break\: Even\: Point_{dollars}

283,800 / 0.3 = 946.000‬

A profit of 151,800 is achieve when selling above enought to make that 30%

151,800 / 0.3   =   506.000‬   + 946,000 = 1,452,000

other way would be:

( 283,800 + 151,800 ) / 0.3 = 1,452,000

if variable expense decrease by 4.4 then:

(44 - 30.8 + 4.4) / 44 = 0.4

we recalculate:

283,800 / 0.4 = 709,500

to profit

( 283,800 + 151,800 ) / 0.4 = 1,089,000

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Sales $600,000

Cost of Goods Sold $450,000

Cash $28,000

Accounts payable $110,000

Accounts receivable $60,000

Inventory $120,000

Common Stock $140,000

Fixed Asset $192,000

Total Liabilities and equity $400,000

Explanation:

1.To compute the missing amount of sales, we must look for the data given that has something to do with sales. And the two data given that will give us the hint are the Asset turnover and the total asset.

ASSET TURNOVER = Net Sales / Total Asset

1.5 = Net Sales * $400,000

Net Sales = 1.5 * $400,000

Net Sales = $600,000

To check if the answer is correct:

$600,000 / $400,000 = 1.5 <em>which is equal to the data given</em>

<em />

2. The Sales has been computed above and Gross profit margin on sales is present, these are the hint we needed to compute the Cost of goods sold.

Sales  100%

<u>Less: Gross profit margin on sales 25%</u>

Cost of goods sold ratio on sales 75%

Therefore, $600,000 x 75% (ratio on sales) = $450,000

3.ACCOUNTS RECEIVABLE

It is impossible to compute the cash based on the data given without the accounts receivable. So, let's compute the accounts receivable beforehand.

The additional hint that we have is the Days sales outstanding (based on 365-day year).

  • Days sales outstanding = Accounts receivable / (Annual credit sales / 365 days)
  • 36.5 days = Accounts receivable / ($600,000 / 365)
  • Accounts receivable = 36.5 * ($600,000 / 365)
  • Accounts receivable = $60,000

<em>To check our answer:</em>

<em>$60,000 / ($600,000 / 365)</em>

<em>$60,000 / 1,643.84</em>

<em>36.5 days</em>

<em />

4. ACCOUNTS PAYABLE

Next missing item that we will compute is the accounts payable. The hint that we have that is related to the computation of accounts payable is the Liability to asset ratio.

FORMULA :

Liability to asset ratio = Total Liabilities / Total Assets

40% = Total Liabilities / $400,000

Total Liabilities = 40% * $400,000

Total liabilities = $160,000

To Check:

<em>$160,000 / $400,000 = 40% which is equal to the data given</em>

<em>Next Step, Compute accounts payable (the only current liability account in the given partial income statement). Long term debt is the only non-current liability on the data given, which means it is the only account that is included in the total liability of $160,000.</em>

<em />

So, $160,000 less $50,000 = $110,000 (accounts payable)

5. CASH

We can now compute the cash based on the accounts already computed above. The additional hint that we have is the quick ratio. Quick ratio is the quotient of Cash & cash equivalent plus Marketable securities (which is not present in the data given, therefore ignore) plus the accounts receivable over the current liability.

Computation:

0.80 = (Cash + Marketable security + Accounts receivable) / current liability

0.80 = (Cash + Accounts receivable) / $110,000

Cash + Accounts receivable = 0.80 * $110,000

Cash + Accounts receivable = 88,000

Cash + $60,000 = $88,000

Cash = $88,000 - $60,000

Cash = $28,000

6. INVENTORY

To compute the inventory, we need the inventory turn-over hint.

Inventory turn-over = Cost of goods sold / Average inventory

3.75 = $450,000 / Ave inventory

Average inventory = $450,000 / 3.75

Average inventory = $120,000

to check:

<em>$450,000 / $120,000 = 3.75 which is equal to the data given</em>

<em />

7. COMMON STOCK

Total asset = Liabilities + Equity

$400,000 = $160,000 +?

$400,000 - $160,000 = $240,000

Equity is composed of common stock and retained earnings. Therefore, $240,000 - $100,000 (Retained earnings) = $140,000 (common stock)

8. FIXED ASSET

It is the only asset account that is missing after we computed cash, accounts receivable and inventory. Therefore total assets less current assets equals fixed assets.

  • $400,000 - ($28,000 + $60,000 + $120,000)
  • $400,000 - $208,000
  • $192,000 (fixed assets)

9. TOTAL LIABILITIES AND EQUITY

Current liability + Non-current liability + Common stock + Retained earnings

$110,000 + $50,000 + $140,000 + $100,000

$400,000

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