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 The Bruggs & Strutton Company manufactures an engine for carpet cleaners called the "Snooper

Accounting Nov 12, 2020

 The Bruggs & Strutton Company manufactures an engine for carpet cleaners called the "Snooper." Budgeted cost and revenue data for the coming month of the "Snooper" are given below, based on sales of 40,000 units. Sales (40,000 units) $1,600,000 Less: Cost of goods sold 1,120,000 Gross margin $ 480,000 Less: Operating expenses 100,000 Operating income $ 380,000 Cost of goods sold consists of $800,000 of variable costs and $320,000 of fixed costs. Operating expenses consist of $40,000 of variable costs and $60,000 of fixed costs. Required: a. Calculate the break-even point in units. b. How many units must be sold to generate an operating income equal to 15% of sales? c. Using the degree of operating leverage, calculate the percentage increase in operating income that would result if sales were to increase by 25% over the budgeted amount. d. Management wants to increase sales and feels that this can be done by cutting the selling price by 10% and increasing the advertising budget by $20,000 per month. Management believes that these actions will increase unit sales by 50%. Should these changes be made? Use incremental analysis.

Expert Solution

Solution      
         
(a) Break Even Point in Units        = Fixed Cost / Contribution Per Unit  
         
  Total Fixed Cost   Cost of Goods Sold                        320,000
      Operating Expenses                          60,000
                               380,000
         
  Total Variable Cost   Cost of Goods Sold                        800,000
      Operating Expenses                          40,000
                               840,000
  Contribution = Sales - Variable costs      
         
  Sales        1,600,000    
  Total Variable Cost            840,000    
  Contribution            760,000    
  Units Sold              40,000    
  Contribution per unit                       19    
         
  Break Even Point in Units      
  Total Fixed Cost            380,000    
  Contribution per unit                       19    
    20,000 Units    
(b) Units must be sold to generate an Operating income equal to 15% of Sales.    
       
  Sales        1,600,000  
  15% of Sales            240,000 (1600000*15%)
       
  Operating Income for 40,000 Units            380,000  
  Operating Income Per unit                   9.50 (380,000/40000)
       
  Operating Income Required(15% of Sales)            240,000  
  Operating Income Per unit                   9.50  
  Units Requred        25,263.16 (240,000/9.50)
  Units must be sold to generate an Operating income equal to 15% of Sales.    
       
    25,264 Units  
( c ) Degree of Operating Leverages is a cost accounting equation which gives the degree to which a firm can increase operating income
  by increasing revenue.          
             
  Degree of Operating Leverages = Contribution Margin / Profit      
             
  this can be re write as          
             
  Degree of Operating Leverages = Contribution Margin / (Contribution margin - Fixed Cost)      
             
  Contribution margin            760,000        
  Total Fixed Cost            380,000        
  Contribution margin - Fixed Cost            380,000        
             
  Degree of Operating Leverages 200% (760000/380000)      
             
  Increase in Sales 25%        
  percentage Increase in Operating Income 50% (25%*200%)      
             
  Note          
  Operating Leverages 200% means if sales increase by 25% Operating Income will increase by 50 %.    
(d) Selling Price per Unit = Sales / Units      
         
  Selling Price per Unit      
  Sales        1,600,000    
  Units              40,000    
                          40 Per Unit  
         
  New Selling Price(cutting by 10%)                       36 Per Unit  
         
  Variable Cost per Unit = Variable Cost / Units      
         
  Variable Costs            840,000    
  Units              40,000    
                          21 Per Unit  
         
         
  Existing Contribution      
         
  Sales        1,600,000    
  Variable Costs            840,000    
  Contribution            760,000    
         
  New Contribution      
         
  Increase in Units Sales              60,000 (40000*150%)  
         
  Sales        2,160,000 (36*60000)  
  Variable cost 1260000 (21*60000)  
  Contribution            900,000    
  Less: Advertising Expenses              20,000    
               880,000    
         
  Increase in contribution due to new Proposal            120,000 (880000-760000)  
         
  By the new Change contribution increased by $120,000. So management should accept the change.
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