Final answer:
The income for the special offer of 380 bikes at $450 each would be $77,900.
Step-by-step explanation:
To calculate the income for the special offer of 380 bikes at $450 each, we first need to calculate the incremental costs of producing these bikes. The incremental fixed costs are $80 per bike, so for 380 bikes, the total incremental fixed costs would be $30,400 (380 x $80). The total incremental variable costs can be calculated by multiplying the variable cost per bike by the number of bikes, which is $165 per bike x 380 bikes = $62,700.
Now, we can calculate the income for the special offer by subtracting the total incremental costs from the revenue generated. The revenue for the offer is $450 per bike x 380 bikes = $171,000. Therefore, the income for the special offer would be $171,000 - $30,400 - $62,700 = $77,900.