Question

Lin Corporation has a single product whose selling price is $134 per unit and whose variable expense is $67 per unit. The company’s monthly fixed expense is $32,300. Required: 1. Calculate the unit sales needed to attain a target profit of $7,900. (Do not round intermediate calculations.) 2. Calculate the dollar sales needed to attain a target profit of $8,600.

Answer 1

Answer:

1. 600 units

2. $81,800

Explanation:

In this question we use the formula of break-even point in unit sales which is shown below:

= (Fixed expenses + target profit) ÷ (Contribution margin per unit)

where,  

Contribution margin per unit = Selling price per unit - Variable expense per unit

= $134 - $67

= $67

And, the other items values would remain the same

Now put these values to the above formula  

So, the value would equal to

= ($32,300 + $7,900) ÷ ($67)

= ($402,00) ÷ ($67)

= 600 units  

2. Break even point = (Fixed expenses + desired profit) ÷ (Profit volume Ratio)  

And, Profit volume ratio = (Contribution margin per unit) ÷ (selling price per unit) × 100

So, the Profit volume ratio = ($67) ÷ ($134) × 100 = 50%

The other values would remain same

Now put these values to the above formula  

So, the value would equal to  

= ($32,300 + $8,600) ÷ (50%)  

= $81,800