The operations of Smits Corporation are divided into the Child Division and the Jackson Division. Projections for the next year are as follows:

Child
Division Jackson
Division
Total
Sales revenue $250,000 $180,000 $430,000
Variable expenses 90,000 100,000 190,000
Contribution margin $160,000 $80,000 $240,000
Direct fixed expenses 75,000 62,500 137,500
Segment margin $85,000 $17,500 $102,500
Allocated common costs 35,000 27,500 62,500
Total relevant benefit (loss) $50,000 $(10,000) $40,000

Operating income for the Smith's corporation as a whole if the Jackson's division were dropped is $22,500

Explanation:

The operations of Smith's Corporation are divided into the Child Division and the Jackson Division. Projections for the next year are as follows:

                                     Child  Division   Jackson  Division     Total

Sales revenue                 $250,000           $180,000      $430,000

Variable expenses              90,000              100,000         190,000

Contribution margin         $160,000             $80,000      $240,000

Direct fixed expenses          75,000               62,500          137,500

Segment margin                 $85,000             $17,500        $102,500

Allocated common costs      35,000               27,500           62,500

Total relevant benefit         $50,000            $(10,000)         $40,000

Operating income for the Smith's corporation as a whole if the Jackson's division were dropped

                                     Child  Division    

Sales revenue                 $250,000        

Variable expenses              90,000              

Contribution margin         $160,000            

Direct fixed expenses          75,000              

Segment margin                 $85,000              

Allocated common costs      62,500                

Total relevant benefit         $22,500            

Note that common fixed costs will be borne by the child division alone when the Jackson division is closed which is the entire 62,500 is deducted from the sales margin of child division before arriving at profit

answer; standing committee;