Final answer:
The income from the special offer of selling 390 bikes at $510 each, after accounting for variable costs and incremental fixed costs, amounts to $109,200.
Step-by-step explanation:
To calculate the income from the special offer, we need to consider the sale price, the variable costs, and the incremental fixed costs associated with the order. Since we're not provided with information about total fixed costs for the company and initial profitability, we can't assess overall profit, but we can assess the income from this special batch of 390 bicycles. The income from the special offer can be calculated by multiplying the number of bikes sold by the sale price per bike, then subtracting the total costs associated with manufacturing these bikes (which include both variable costs and incremental fixed costs).
- Sales revenue from special offer = 390 bikes × $510/bike
- Variable costs for special offer = 390 bikes × $170/bike
- Incremental fixed costs for special offer = 390 bikes × $60/bike
- Income from special offer = Sales revenue - Variable costs - Incremental fixed costs
By plugging in the numbers, we find:
- Sales revenue from special offer = $198,900
- Variable costs for special offer = $66,300
- Incremental fixed costs for special offer = $23,400
- Income from special offer = $198,900 - $66,300 - $23,400 = $109,200