A manufacturer of shower-surrounds has a revenue function of and a cost function of , where x represents the number of units produced and sold. Find the number of units that must be sold to break even.
A) 125
B) 28
C) 100
D) 22
E) 18

Question

A manufacturer of shower-surrounds has a revenue function of  and a cost function of  , where x represents the number of units produced and sold. Find the number of units that must be sold to break even. ​
A) 125 
B) 28 
C) 100 
D) 22 
E) 18

Quizplus · Accepted Answer

The company breaks even when revenue equals cost. Therefore, we need to find the value of x that satisfies the equation:

11x = 7x + 6400

Subtracting 7x from both sides:

4x = 6400

Dividing both sides by 4:

x = 1600/4 = 400

Therefore, the company needs to sell 400 units to break even.

A Manufacturer of Shower-Surrounds Has a Revenue Function of