If a firm has fixed costs of $30,000, a variable cost per unit of $.75, and a break-even point of 5,000 units, the sales price per unit is ________.

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Answer:

The sales price per unit will be $6.75.

Explanation:

The break even point is where the total revenue is total cost such that profit equals zero.

The break even level of output is 5,000 units.

The fixed costs is $30,000.

The variable cost per unit is $.75.

The total variable cost is

= [tex].75\ \times\ 5,000[/tex]

= $3750

The total cost will be

= $30,000 + $3,750

= $33,750

Which is also equal to total revenue

Now,

Total revenue = [tex]Price\ \times\ Quantity[/tex]

$33,750 = [tex]Price\ \times\ 5,000[/tex]

Price = [tex]\frac{33,750}{5,000}[/tex]

Price = $6.75

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