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 value of x that maximizes the function 11x - x^2. This is a quadratic function with a negative coefficient on the x^2 term, so it has a maximum at the vertex of the parabola. The vertex occurs at x = -b/2a, where a = -1, b = 11, and c = 0. Therefore, x = -b/2a = -11/(2*-1) = 5.5. Plugging this value back into the revenue function gives a maximum revenue of 11(5.5) - 5.5^2 = $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