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? D. What would be the sales dollars and number of units sold if Bedford Company wishes to have a target profit of $4,000?

Results are below.

Explanation:

Giving the following information:

In 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.

First, we need to calculate the unitary variable cost:

Unitary variable cost= 34*0.4= $13.6

Now, we can determine the contribution margin per unit and the contribution margin ratio:

contribution margin per unit= selling price - unitary variable cost

contribution margin per unit= 34 - 13.6= $20.4

contribution margin ratio= contribution margin per unit/selling price

contribution margin ratio= 20.4/34

contribution margin ratio= 0.6

To calculate the break-even point in units and dollars, we need to use the following formula:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 6,320/20.4

Break-even point in units= 310 units

Break-even point (dollars)= fixed costs/ contribution margin ratio

Break-even point (dollars)= 6,320/0.6

Break-even point (dollars)= $10,533

To calculate the margin of safety, we will use the following formula:

Margin of safety= (current sales level - break-even point)

Margin of safety= 350*34 - 10,533

Margin of safety= $1,367

Finally, the desired profit is $4,000:

Break-even point in units= (fixed costs + desired profit) / contribution margin per unit

Break-even point in units=  (6,320 + 4,000) / 20.4

Break-even point in units= 506 units

Break-even point (dollars)= (fixed costs + desired profit)/ contribution margin ratio

Break-even point (dollars)= 10,320/0.6

Break-even point (dollars)= $17,200

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