Word Problem PreCal.

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(3)−x7, find the revenue if 7 units are sold. Round to two decimal places.

Answer 1

Hi Rose,

Observe that we are told there are 7 units sold, so proceed as x = 7. We want the revenue, so let's find R(7).

Recall with R and p defined above we get R(7) = 7(p(7)) = 7(27(3) - (7)^7)

= 7(27(3) - 2187)

= 7(81 - 2187)

= 7(-2106)

= -14742

The above follows PEMDAS. Since it is a negative profit/revenue, I suspect there is a typo in your question. If this is true, please let me know I can fix the solution.

I hope this helps!

Rob