Question

Eastwick produces and sells three products. Last month's results are as follows: P1 P2 P3 Revenues...

Eastwick produces and sells three products. Last month's results are as follows: P1 P2 P3 Revenues $ 300,000 $ 400,000 $ 400,000 Variable costs 60,000 250,000 141,000 Fixed costs total $400,000. What sales volume would generate an operating profit of $250,000? (Assume the current product mix.)

$1,350,000.

$1,290,000.

$1,101,695.

$1,750,000.

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Answer #1

Ans:

$1,101,695.

Working:

Particulars

P1

P2

P3

Total

   Revenues

$ 300,000

$ 400,000

$ 400,000

   $1,100,000

   Variable costs

$ 60,000

$ 250,000

$ 141,000

$ (451,000)

Contribution(Revenues- VC)

  $ 240,000

$ 150,000

$ 259,000

$ 649,000

Fixed Costs

$(400,000)

Income (contribution – fixed cost)

$ 249,000

PV Ratio = Contribution/Sales *100

59%

Fixed Costs

$400,000

Desired operating Profit

$250,000

Total Contribution desired

  $650,000

Sales in $ required =

(Desired Contribution/PV Ratio)

   $1,101,695

Explanation:

1) Sales in $ to earn Desired profit = (Fixed cost + Desired profit )/Contribution margin ratio

2) contribution margin ratio is also called PV ratio i.e profit volume ratio

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