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A company receives $72 for each unit of output sold. It has a variable cost of
$24 per item and a fixed cost of $4,300. Which function correctly models the
company's profit in terms of the number of units, x? *

A) p = 48x + 4,300
B) p = 48x - 300
C) p = 96x + 4,300
D ) p = 96x - 4,300

Respuesta :

itsthaboi

Answer:

A

Step-by-step explanation: It has all the variables and in logical order.

The profit function is [tex]p=48x-4300[/tex].

Important information:

  • Revenue per unit = $72
  • Fixed cost = $4300
  • Variable cost = $24.

Functions:

Let [tex]x[/tex] be the number of units sold.

The company receives $72 for each unit of output sold. So, the revenue function is:

[tex]r(x)=72x[/tex]

The variable cost is $24 per item and the fixed cost is $4,300. So, the cost function is:

[tex]c(x)=4300+24x[/tex]

Now, the profit function is:

[tex]p=r(x)-c(x)[/tex]

[tex]p=72x-(4300+24x)[/tex]

[tex]p=72x-4300-24x[/tex]

[tex]p=48x-4300[/tex]

Therefore, the profit function is [tex]p=48x-4300[/tex].

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