Zachary Corporation is a manufacturing company that makes small electric motors it sells for $49 per unit. The variable costs of production are $25 per motor, and annual fixed costs of production are $528,000. Required How many units of product must Zachary make and sell to break even? How many units of product must Zachary make and sell to earn a $72,000 profit? The marketing manager believes that sales would increase dramatically if the price were reduced to $45 per unit. How many units of product must Zachary make and sell to earn a $72,000 profit, if the sales price is set at $45 per unit?
Solution:
From the given data we need to find the given requirements.
1. Break even units:
= Fixed cost / Contribution per unit
= $528,000 / ($49 -$25)
= $528,000 / $24
= 22,000 units
2. Units to make and sell to earn profit:
= ($528,000 + $72,000) / $24
= $600,000 / $24
= 25,000 units
3. Units to make and sell:
= ($528,000 + $72,000)/($45 - $25)
= $600,000 / $20
= 30,000 units
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