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)94
B)20
C)100
D)17
E)13

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)94 
B)20 
C)100 
D)17 
E)13

Quizplus · Accepted Answer

To break even, we need the revenue to equal the cost. Therefore, we need to solve the equation:

11x = 7x + 1200

4x = 1200

x = 300

Therefore, 300 units must be sold to break even.

Choice C (100) is the closest option to our answer of 300 units. None of the other answer choices are even close to the correct answer.

A Manufacturer of Shower-Surrounds Has a Revenue Function of