Answer:
See below.
Explanation:
We can compute the profitability of this special order by accounting for the incremental costs,
Sales (9700 * 47.20) = $457,840
Incremental Variable costs = (18 + 7.30 + 4.50 + 6.90) = $36.7/unit
The incremental variable costs include the $6.9 for modifications and does not include 7.4 which is a part of non incremental fixed costs.
Profits from this special order are as follows,
Sales 457,840
Less:
Variable costs (36.7*9700) 355,990
Incremental Fixed costs 46,700
Profits from this special order 55,150
Since the order has positive contribution and as it yields profits, it should be accepted.
Hope that helps.