At the break-even point, Jefferson Company sells 115,000 units and has fixed cos
ID: 2587322 • Letter: A
Question
At the break-even point, Jefferson Company sells 115,000 units and has fixed cost of $351,800. The variable cost per unit is $0.10. What price does Jefferson charge per unit? Round to the nearest cent.
$
2. Sooner Industries charges a price of $77 and has fixed cost of $461,000. Next year, Sooner expects to sell 18,500 units and make operating income of $192,000. What is the variable cost per unit? What is the contribution margin ratio? Round your variable cost per unit answer to the nearest cent. Enter the contribution margin ratio as a percentage, rounded to two decimal places.
3. Last year, Jasper Company earned operating income of $18,240 with a contribution margin ratio of 0.2. Actual revenue was $228,000. Calculate the total fixed cost. Round your answer to the nearest dollar, if required.
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4. Laramie Company has variable cost ratio of 0.6. The fixed cost is $108,000 and 21,000 units are sold at breakeven. What is the price? What is the variable cost per unit? The contribution margin per unit? (Round answers to the nearest cent.)
Variable cost per unit $ Contribution margin ratio %Explanation / Answer
Answer:-1)-BEP sales units =115000 units
Fixed cost =$351800
Variable cost per unit =$.10 per unit
At BEP sales:- Contribution = Fixed cost
Hence Contribution =$351800
Variable cost =115000 units*$.10 per unit =$11500
Let X be selling price
115000X-$11500-$351800 = NIL
X=$11500+$351800/115000 = $363300/115000
X=$3.16 per unit
Hence Jefferson charge $3.16 per unit.
2)-Selling price per unit =$77 per unit
Fixed cost=$461000
Selling units=18500 units
Operating income =$192000
Contribution =Fixed cost + Net operating income
=$461000$+$192000 =$653000
Sales value =18500 units*$77 per unit =$1424500
Contribution = Sales – Variable cost
$653000 =$1424500- Variable cost
Variable cost =$1424500-$653000 =$771500
Variable cost per unit =$771500/18500 units =$41.70 per unit
Contribution margin ratio = Contribution/Sales *100
=$653000/$1424500*100 =45.84%
3)-Net operating income =$18240
Contribution margin ratio=.20
Actual revenue =$228000
Contribution =$228000*.20 =$45600
Net operating income =Contribution – Fixed cost
$18240 =$45600- Fixed cost
Fixed cost=$45600-$18240 =$27360
4)-Variable cost ratio =.60
Fixed cost =$108000
Break even units =21000 units
Contribution margin ratio=1- Variable cost ratio
Contribution margin ratio=1-.60 =.40
BEP sales in dollars = Fixed cost/ Contribution margin ratio
=$108000/40% =$270000
Variable cost per unit =$270000*.60/21000 units
=$162000/21000 units = $7.72 per unit
Contribution margin per unit =$270000*.40/21000 units
= $108000/21000 units=$5.14 per unit
Selling price per unit =$270000/21000 units
=$12.86 per unit
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