Suppose that the average cost, in dollars, of producing a shipment of a certain product is

Question

Suppose that the average cost, in dollars, of producing a shipment of a certain product is

C = 5,000x + 45,000

,    x > 0

where x is the number of machines used in the production process.

(a) Find the critical values of this function. (Assume 0 < x < ∞.

 Enter your answers as a comma-separated list.)

x = 

(b) Over what interval does the average cost decrease? (Enter your answer using interval notation.)

 

(c) Over what interval does the average cost increase? (Enter your answer using interval notation.)

()

 

Answer 1

The derivative is 5000, the slope of this line...

the min is at (0,45000) and increases forevermore for all x>0