What is the sales of volume V, of a particular product with a net income of $5000 given a sales price of $40, a variable cost of $15?and $1000 in fixed cost?

Respuesta :

Answer:

The sales of volume V, of a particular product with a net income of $5000 given a sales price of $40, a variable cost of $15?and $1000 in fixed cost is 240

Step-by-step explanation:

Given:  

Net income= $5000

sales price= $40

variable cost =$15 and $1000

To Find:

sales of volume V=?

Solution:

We Know that  

[tex]\text {Income}=40 * x[/tex]

Where x=  number of units sold

Similarily,  

[tex]\text { Net Income }=40 \mathrm{x}-\text { VARIABLE } \cos \mathrm{T} * \mathrm{x}-1000[/tex]

Substituting the known values,

[tex]\text { Net Income }=40 \mathrm{x}-\text{VARIABLE COST} * \mathrm{x}-1000[/tex]

[tex]5000=40 \mathrm{x}-15 * \mathrm{x}-1000[/tex]

Sloving the equation,

[tex]5000=40 \mathrm{x}-15 \mathrm{x}-1000[/tex]

[tex]5000=25 \mathrm{x}-1000[/tex]

[tex]5000+1000=25 \mathrm{x}[/tex]

[tex]6000=25 \mathrm{x}[/tex]

[tex]x=\frac{6000}{25}[/tex]

[tex]x=240[/tex]