A recent income statement of McClennon Corporation reported the following data:
Units Sold8,000
Sales Revenue$9,600,000
Variable Costs6,000,000
Fixed Costs2,600,000

If the company desired to earn a target profit of $1,270,000, it would have to sell:
a. 5,778 units.
b. 8,600 units.
c. 10,160 units.
d. 11,908 units.
e. an amount other than those above.

Respuesta :

Answer:

The correct answer is option b.

Explanation:

The number of units of output sold is 8,000 .

The sales revenue is $9,600,000 .

The variable costs are $6,000,000 .

The fixed costs are $2,600,000.

The price of the product

= [tex]\frac{Sales\ Revenue}{Q}[/tex]

= [tex]\frac{9,600,000}{8,000}[/tex]

= $1,200

The average variable cost is

= [tex]\frac{TVC}{Q}[/tex]

= [tex]\frac{6,000,000}{8,000}[/tex]

= $750

Profit =  TR - TC

Profit = [tex]Price\ \times\ Q - (AVC\ \times\ Q )\ +\ TFC)[/tex]

$1,270,000 = $1,200Q - $750Q - $2,600,000

$3,870,000 = $450Q

Q = [tex]\frac{3,870,000}{450}[/tex]

Q = 8,600 units

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