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Lin Corporation has a single product whose selling price is $140 per unit and whose variable expense is $70 per unit. The company’s monthly fixed expense is $31,600. Required: 1. Calculate the unit sales needed to attain a target profit of $8,300. (Do not round intermediate calculations.) 2. Calculate the dollar sales needed to attain a target profit of $10,000. (Round your intermediate calculations to the nearest whole number.)

1 Answer

5 votes

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Selling price= $140

Unitary variable cost= $70

Fixed cost= $31,600

To calculate the number of units to be sold to obtain a profit of $8,300, we need to use the following formula:

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

Break-even point in units= (31,600 + 8,300) / (140 - 70)

Break-even point in units= 570

Now, the dollar sales for $10,000 profit:

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

Break-even point (dollars)= (31,600 + 10,000) / (70/140)

Break-even point (dollars)= $83,200

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