Answer: 1250
Explanation:
Let's go in stages,
Gizmos are sold for $80 and have a variable cost of $36. Subtracting that would give us $44. This is the Contribution margin of Gizmos.
Gadgets are sold for $50 and have a variable cost of $22. Subtracting that would give us $28. This is the Contribution margin of Gadgets.
The text says that 3/4 of goods sold are Gizmos with the rest being gadgets.
Let's account for that using their contribution margins.
This means that Gizmos contribute 3/4 from their CM which we'll calculate as,
= 3/4 * 44
= 33
Gadgets would be
= 1/4 * 28
= 7
The Weighted Average contribution margin for both goods in their selling proportion is therefore,
= 33 + 7
= $40
If they make $40 as the weighted average CM then to find the amount of units needed to break even with a fixed cost of $50,000 can be calculated by dividing the fixed costs by the Weighted Average CM which would be,
= 50,000/40
= 1250
They would need to sell 1250 total units in order to break even with a product mix of 3/4 Gizmos and 1/4 Gadgets.
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