Based on the information that is given, the volume per month that will be required to break-even will be 46000 units.
The breakeven quantity will be:
= 9200 / (0.90 - 0.70)
= 9200 / 0.20
= 46000 units.
The profit that would be realized on a monthly volume of 61,000 units will be;
= 0.90(61000) - [9200 + 0.70(61000)]
= 54900 - 51900
= 3000
The profit that would be realized on a monthly volume of 87000 units will be;
= 0.90(87000) - [9200 + 0.70(87000)]
= 78300 - 70100
= 8200
The volume that is needed to obtain a profit of $16,000 per month will be:
= (16000 + 9200) / (0.90 - 0.70)
= 25000/0.20
= 126000 units
The volume that is needed to provide a revenue of $23,000 per month will be:
Quantity = Total revenue / Price
Quantity = 23000/0.90
Quantity = 25556 units
Lastly, the total cost will be:
= Fixed cost + Variable cost .
= 9200 + 70000
= 79200
The total revenue will be:
= Price × Quantity
= 0.90 × 100000
= 90000
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