Here's the contribution margin income statement for the two-month period both with and without the special order:
Without Special Order With Special Order
Sales $80,160 $105,400
Variable Costs
Direct Materials $43,200 $65,000
Direct Labor $57,600 $96,000
Variable Overhead $57,600 $153,600
Total Variable Costs $158,400 $314,600
Contribution Margin $41,760 $90,800
Fixed Manufacturing Overhead $110,880 $110,880
Fixed Selling and Administrative Expenses $46,080 $46,080
Total Fixed Costs $156,960 $156,960
Income from Operations -$15,200 $-66,160
As you can see, the company would experience a loss from operations if it accepts the special order.
This is because the additional variable costs associated with producing the 10,000 tool boxes would outweigh the contribution margin from the order.
Additionally, the company would have to divert some of its regular sales to the special order, which would also contribute to the loss.
Therefore, it is recommended that Riel Company not accept the special order.