QuestionFind the revenue function $R(x)$ given the cost function $C(x)=20000+40x$ and price per unit is $80$ .

Studdy Solution

STEP 1

Assumptions1. The cost function is given by $C(x)=20000+40x$ , where $x$ is the number of units produced and sold. . The price per unit sold is $80.<br />3. The revenue function$ R(x) $is to be found, where$ x$ is the number of units sold.

STEP 2

First, we need to understand what a revenue function is. The revenue function is the total income a company receives from selling its goods. It is calculated by multiplying the price per unit by the number of units sold.
$R(x) = Price\, per\, unit \\times Number\, of\, units\, sold$

STEP 3

Now, plug in the given values for the price per unit and the number of units sold to calculate the revenue.
$R(x) = \$80 \\times x$

STEP 4

This gives us the revenue function $R(x) = \$80x$ This means that the revenue from selling $x$ units is $80x$ dollars.

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