Question

The total cost (in dollars) of producing x motorcycle frames is C(x)=12000+700x. (A) Find the average cost per motorcycle if 500 frames are produced. Ave. cost per motorcycle = ?

Answer 1

The average cost per motorcycle when 500 frames are produced is 724 dollars per motorcycle.

Step-by-step explanation:

The average cost per motorcycle can be found by dividing the total cost by the number of motorcycle frames produced. In this case, the total cost function is given as C(x) = 12000 + 700x, where x is the number of motorcycle frames produced. To find the average cost per motorcycle when 500 frames are produced, we substitute x = 500 into the cost function and divide the result by 500.

Substituting x = 500 into the cost function:

C(500) = 12000 + 700(500) = 12000 + 350000 = 362000

Dividing the total cost by the number of motorcycle frames produced:

Average cost per motorcycle = 362000 / 500 = 724 dollars per motorcycle