Final answer:
Accepting the special order would result in an additional income of $111,600 for Reggie Corporation, after accounting for the incremental costs associated with producing the extra units offered at a special price.
Step-by-step explanation:
To calculate the change in income if Reggie Corporation accepts the special order, we need to consider the additional revenues and the incremental costs of producing the extra 100 units. The special order offers a price of $5,100 per unit. Since no additional selling expenses will be incurred, we only need to account for variable costs which are variable overhead, variable administrative expenses, direct materials, and direct labor.
Let's break down the variable and fixed costs per unit:
Variable overhead: 30% of $1,800 = $540
Variable selling expenses: 50% already excluded as no additional will be incurred
Variable administrative expenses: 10% of $840 = $84
Direct materials = $2,400
Direct labor = $960
Now let's calculate the total variable cost per unit: $540 + $84 + $2,400 + $960 = $3,984
The additional revenue from the special order is $5,100 x 100 units = $510,000.
The additional cost for producing the 100 units is: $3,984 (cost per unit) x 100 units = $398,400.
The change in income will be the additional revenue minus the additional costs: $510,000 - $398,400 = $111,600.
Therefore, if Reggie Corporation accepts the special order, the change in income will be a positive $111,600.