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In the month of June, Bedford Company sold 350 widgets. The average sales price

ID: 2595975 • Letter: I

Question

In the month of June, Bedford Company sold 350 widgets. The average sales price was $34. During the month, fixed costs were $6,320 and variable costs were 40% of sales.

Instructions

A.     Determine the contribution margin in dollars, per unit, and as a ratio.

B.     Compute the break-even point in units and dollars.

C.     How much can sales decline before Bedford Company experiences a loss? (hint: compute margin of safety)

D.   What would be the sales dollars and number of units sold if Bedford Company  

        wishes to have a target profit of $4,000.

Explanation / Answer

Contribution Margin in dollars= Sales- Variable Cost

                                                              =Sales in units(Selling Price- Variable Cost per unit)

                                                              =350 x ($34- $34 x 40%)

                                                              =350 x $34 x 60%

                                                              =350 x $20.40

                                                              =$7,140

Contribution margin per unit= Selling Price – Variable Cost per Unit

                                                         =$34-$34 x 40%

                                                           =34 x 60%

                                                            =$20.40

Contribution margin ratio = Contribution per unit/ Selling Price per unit x 100

                                                  =$20.40/$34.00 x 100

                                                    =60%

Break even point in units= Fixed Cost / Contribution Per unit

                                                 =$6,320/$20.40

                                                 =$6,320/$20.40

                                                 =309.81 or 310 units

Break even point in dollars = Break even point units x Selling price

                                                       =310 x $34

                                                       =$10,540

Margin of Safety = Total Sales -Break even sales

                                 =(350 x $34)- (310 x $34)

                                   =40 x $34

                                    =$1,360

                             

D.   What would be the sales dollars and number of units sold if Bedford Company  

        wishes to have a target profit of $4,000.

Target sales in units=Target Profit+ Fixed Cost / Contribution margin per unit

                         =$4,000+$6,320/$20.40

                           =$10,320/$20.40

                                =505.88                or 506 units

Target sales in dollar =506 x $34=$17,204

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