Provide an appropriate response.
-A tennis racket company has manufacturing costs given by the equation C = 30x + 30,000x where x is the number of rackets manufactured and C is the cost to manufacture each racket.
What number of rackets must be manufactured to bring the cost per racket to $3?
A) No number of rackets manufactured satisfies this goal.
B) Not enough information is given to answer this question.
C) 30,000 rackets
D) 33,000 rackets

Question

Quizplus · Accepted Answer

The equation provided, C = 30x + 30,000x, seems incorrect for calculating the cost per racket as it suggests the cost increases linearly with each racket made, which doesn't align with typical manufacturing cost structures (usually, the variable cost per unit decreases as quantity increases due to economies of scale). Additionally, trying to solve for x to make the cost per racket $3 with the given equation does not make sense mathematically.

Provide an Appropriate Response