If C(x) is the cost of producing x units of a commodity, then the average cost per unit is a(x) = C(x)/x. Consider the C(x) given below. Round your answers to the nearest cent.

C(x) = 16,000 + 250x + 4x^(3/2)

Question

If C(x) is the cost of producing x units of a commodity, then the average cost per unit is a(x) = C(x)/x. Consider the C(x) given below. Round your answers to the nearest cent.

C(x) = 16,000 + 250x + 4x^(3/2)

anonymous · Answer

I NEED HELP ON D AND E PLEASE!

A) Find the total cost at a production level of 1000 units. 
    = 392,491.1

B) Find the average cost at a production level of 1000 units.
   = 392.5

C) Find the marginal cost at a production level of 1000 units.
   = 439.7 

D) Find the production level that will minimize the average cost.

E) What is the minimum average cost?

miracrown · Answer

What does C equal ?

miracrown · Answer

we need to find the minimum of the average cost equation
unless you already have
da/dx

miracrown · Answer

I am asking about C(x) what is the cost function ?

anonymous · Answer

I'm confused

anonymous · Answer

@Miracrown