Abner Corporation makes a product that sells for $200 per unit. The Variable Costs per unit are $120. Fixed Costs total $500,000 each year. Abner currently sells 7,500 units per year. Calculate the number of units that Abner must sell to break even. Use the equation method to solve for the number of units Abner needs to sell to breakeven.

Question

Business

Roderick Pope

5 April, 13:13

Abner Corporation makes a product that sells for $200 per unit. The Variable Costs per unit are $120. Fixed Costs total $500,000 each year. Abner currently sells 7,500 units per year. Calculate the number of units that Abner must sell to break even. Use the equation method to solve for the number of units Abner needs to sell to breakeven.

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Halle Schwartz · Answer 1

6,250 units to break even.

Explanation:

Let's call x the number of units needed.

We know the sales price ($200/unit).

We know the cost of production ($120/unit)

And to break even, the Abner Corporation need to cover their fixed costs of $500,000.

That can be modeled like this:

200x - 120x = 500000 (sales price - cost price to get 500K)

we simplify and solve:

80x = 500000 (making $80 profit for each unit)

x = 6,250 units

Abner Corp needs to sell at 6,250 units to break even.

Since it is selling 7,500 units, they are making a profid.