Kidd Company produces two products. Budgeted annual income statements for the two products are provided as follows. Power Lite Total Budgeted Per Budgeted Budgeted Per Budgeted Budgeted Budgeted Number Unit Amount Number Unit Amount Number Amount Sales 160 @ $ 500 = $ 80,000 640 @ $ 450 = $ 288,000 800 $ 368,000 Variable cost 160 @ 320 = (51,200 ) 640 @ 330 = (211,200 ) 800 (262,400 ) Contribution margin 160 @ 180 = 28,800 640 @ 120 = 76,800 800 105,600 Fixed cost (12,000 ) (54,000 ) (66,000 ) Net income $ 16,800 $ 22,800 $ 39,600 Required Based on budgeted sales, determine the relative sales mix between the two products. Determine the weighted-average contribution margin per unit. Calculate the break-even point in total number of units. Determine the number of units of each product Kidd must sell to break even. Verify the break-even point by preparing an income statement for each product as well as an income statement for the combined products. Determine the margin of safety based on the combined sales of the two products.

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Answer:

  • Determine the relative sales mix between the two products  

PRODUCT 1 20%

PRODUCT 2 80%

  • Determine the weighted-average contribution margin per unit  

PRODUCT 1 $ 36

PRODUCT 2 $ 96

Total Contr. Margin $ 132

  • Calculate the break-even point in total number of units  

Total UNITS  500   Quantity

         $ 66.000 Contributing Margin

         -$ 66.000 Anual Fixed Costs

                 $ 0 Segment Margin

  • Determine the number of units of each product Kidd must sell to break even    

PRODUCT 1  67           Quantity  

                 $ 12.000  Contributing Margin  

                -$ 12.000 Anual Fixed Costs        

                         $0    Segment Margin  

PRODUCT 2  450          Quantity  

                  $ 54.000 Contributing Margin  

                -$ 54.000 Anual Fixed Costs        

                               $0       Segment Margin  

  • Verify the break-even point by preparing an income statement for each product as well as an income statement for the combined products.

PRODUCT 1        BREAK EVEN POINT    

Quantity   Unit  TOTAL     Income Statement

67             $ 500      $ 33.333  Total Net Sales

                $ 320 -$ 21.333  Variable Cost

                $ 180 $ 12.000  Contributing Margin

                          -$ 12.000 Anual Fixed Costs

                                        $0  -    Segment Margin

PRODUCT 2       BREAK EVEN POINT    

Quantity  Unit  TOTAL     Income Statement

450         $ 450 $ 202.500 Total Net Sales

                $ 330 -$ 148.500 Variable Cost

                $ 120 $ 54.000 Contributing Margin

                          -$ 54.000 Anual Fixed Costs

                                        $0  -    Segment Margin

  • Determine the margin of safety based on the combined sales of the two products.    

  Margin Safety Actual Sales  800  $ 368.000    

                       Break Even Point    517  $ 235.833  

                                         RATIO  283   132.167  36%

Explanation: