given the cost function c(x) and the revenue function r(x), find the number of units x that must be sold to…

given the cost function c(x) and the revenue function r(x), find the number of units x that must be sold to break even. c(x)=1.4x + 1400 and r(x)=1.5x. how many units must be produced and sold in order to break even? units

given the cost function c(x) and the revenue function r(x), find the number of units x that must be sold to break even. c(x)=1.4x + 1400 and r(x)=1.5x. how many units must be produced and sold in order to break even? units

Answer

Explanation:

Step1: Set cost equal to revenue

Set $C(x)=R(x)$. So, $1.4x + 1400=1.5x$.

Step2: Isolate the variable x

Subtract $1.4x$ from both sides. We get $1400=1.5x - 1.4x$.

Step3: Simplify the right - hand side

$1.5x-1.4x = 0.1x$. So, $0.1x=1400$.

Step4: Solve for x

Divide both sides by $0.1$. Then $x=\frac{1400}{0.1}=14000$.

Answer:

$14000$