A firm has total revenue given by for x units of a product.Find the maximum revenue from sales of that product.
A) $2400
B) $2432
C) $404
D) $3300
E) $307

Question

​A firm has total revenue given by  for x units of a product.Find the maximum revenue from sales of that product. ​
A) ​$2400 
B) ​$2432 
C) ​$404 
D) ​$3300 
E) ​$307

Quizplus · Accepted Answer

To find the maximum revenue, we need to find the derivative of the revenue function and set it equal to zero. Taking the derivative, we get 11e^(0.6lnx), which simplifies to (11/√(x^3)). Setting this equal to zero, we get x=162.56 (rounded to two decimal places). Plugging this value into the revenue function, we get a maximum revenue of approximately $2432. Therefore, the correct answer is B.

​A Firm Has Total Revenue Given by for X

A Firm Has Total Revenue Given by for X