Question

The revenue function is given by R(x)=x⋅p(x) dollars where x is the number of units sold and p(x) is the unit price. If p(x)=27(4)−x4, find the revenue if 12 units are sold. Round to two decimal places.

Answer 1

Step-by-step explanation:

The question is not properly formated, here is the correct format

The revenue function is given by R(x)=x⋅p(x) dollars where x is the number of units sold and p(x) is the unit price. If p(x)=274−4x, find the revenue if 12 units are sold. Round to two decimal places.

Step one

given the following expression

Revenue

$R(x)=xp(x)$

Unit price

$p(x)=274-4x$

Required

the revenue when 12 units were sold

let us find the unit price for 12 units

$p(x)=274-4x\\\\p(x)=274-4(12)\\\\p(x)=274-48\\\\p(x)=226$

Hence the unit price is$ 226

$R(x)=xp(x)\\\\R(x)=12*226\\\\R(x)=2712$

Revenue is $2712