Respuesta :
Answer:
4,513 approx.
Explanation:
The computation of the minimum number of jars of silver polish is shown below:-
Sales revenue for one jar of silver polish $5.60
Sales revenue for 1/4 pound of Grit 337 0.85
($3.40 × 1 ÷ 4)
Incremental revenue from
further processing $4.75
($5.60 - 0.85)
Incremental costs of further processing:
Processing costs $2.40
Selling costs $0.40 $2.80
Incremental contribution
margin from further
processing into silver polish
per jar $1.95
($4.75 - $2.80)
Point of indifference denotes the point where all options are equally profitable. But after that we will see that more processing is profitable. This is due to the fixed costs involved in further production.
Thus Minimum number of jars needed to produce to justify the further processing = Avoidable Fixed cost ÷ Incremental contribution
= $8,800 ÷ $1.95
= 4,513 approx.
The minimum jars of Silver Polish that Zytel Corporation must sale to justify further processing of Grit 337 are 3,911 units.
Data and Calculations:
Grit 337
Product cost per pound = $2.20
Selling price per pound = $3.40
Margin per pound = $1.20 ($3.40 - $2.20)
Cost of Producing Silver Polish
Initial raw materials cost = $0.55 ($2.20 x 1/4)
Further processing cost = 2.40
Variable selling cost = 0.40
Total variable cost per jar = $3.35
Selling price per jar = $5.60
Contribution margin = $2.25
Fixed costs attributed to silver polish = $8,800
Break-even Analysis:
Minimum production units of silver polish = Fixed Costs/Contribution margin per jar
= $8,800/$2.25
= 3,911 jars
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