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Lady Marion Seafood, Inc. sells 5-pound packages of Alaska salmon. Assume the variable cost per package is $30, and the fixed cost is $250,000. It wants a target profit of $38,000 on a volume of 16,000 packages. What should it charge for a five-pound package of salmon?

Respuesta :

Answer:

It should charge $48 for a five-pound package of salmon.

Step-by-step explanation:

Assume the variable cost per package is $30, and the fixed cost is $250,000.

We know the formula: Profit = Total revenue - Total cost.

Profit = 38000

Total revenue = P x Q (P= price, Q = quantity)

Total revenue = 16000P

Total cost = [Fixed cost + (variable cost x quantity)]

Variable cost = 30

Fixed cost = 250000

Putting all values in formula:  (P x Q) - [FC + (VC x Q)]

[tex]38000=16000P -[250000+(30\times16000)][/tex]

Solving for P;

[tex]38000=16000P -[250000+(30\times16000)][/tex]

=> [tex]38000=16000P -730000][/tex]

=> [tex]16000P=768000[/tex]

Cancelling zeroes and dividing by 16 on both sides, we get;

P = $48

Hence, the company should charge $48 for a five pound package of salmon.

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