The differential analysis suggests that accepting the export order (Alternative 2) would lead to a profit of $8.52 per unit, providing a more favorable financial outcome compared to rejecting the order (Alternative 1).
The differential analysis compares the financial implications of rejecting the order (Alternative 1) and accepting the order (Alternative 2) for Product N at the special export price of $16.10. Given the information provided, the following differential analysis is presented:
Revenues, per unit:
Reject Order (Alternative 1): $21.40
Accept Order (Alternative 2): $16.10
Differential Effect (Alternative 2): -$5.30
Costs:
Variable Manufacturing Costs, per unit: $11.20
Export Tariff, per unit: 20% of Revenue
For Alternative 2: 20% * $16.10 = $3.22
Profit (Loss), per unit:
Reject Order (Alternative 1): $21.40 - $11.20 = $10.20
Accept Order (Alternative 2): $16.10 - $11.20 - $3.22 = $1.68
Differential Effect (Alternative 2): $10.20 - $1.68 = $8.52
In summary, the differential analysis indicates that accepting the export order at the special price would result in a reduction in revenue per unit but would still generate a positive profit after accounting for variable manufacturing costs and export tariffs. The differential effect shows the financial impact favoring Alternative 2 with a profit of $8.52 per unit compared to rejecting the order.