A producer can produce a product at a variable cost per unit of $7. The producer can sell the product for $10 each. If the fixed cost is $60,000. Required:
a. How many units must the producer sell to break-even?
b. What is revenue at 35,000 units?
c. What is total cost at 35,000 units?
d. How many units must the producer sell in order to earn a profit of $60,000?

a.

Break even in units = 20000 units

b.

Revenue at 35000 units = $350000

c.

Total cost (35000 units) = $305000

d.

Units required for target profit = 40000 units

Explanation:

a.

The break even in units is the number of units that must be sold in order to earn enough total revenue as to cover total costs. The break even in units can be calculated as follows,

Break even in units = Fixed cost / Contribution margin per unit

Where,

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

Contribution margin per unit = 10 - 7 =$3

Break even in units = 60000 / 3

Break even in units = 20000 units

b.

Revenue = Price * Quantity

Revenue at 35000 units = 10 * 35000

Revenue at 35000 units = $350000

c.

Total cost = Variable cost + Fixed cost

Total cost (35000 units) = 7 * 35000 + 60000

Total cost (35000 units) = $305000

d.

To calculate the units required to earn a target profit, we simply add the target profit amount to the fixed costs in the break even in units equation.

Thus, the number of units required to earn a target profit of $60000 is,

Units required for target profit = (60000 + 60000) / 3

Units required for target profit = 40000 units

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