Suppose the total cost function for manufacturing a certain product c(x) is given by the function below, where c (x) is measured in dollars and x represents the number of units produced. find the level of production that will minimize the average cost. (round your answer to the nearest whole number.)

C(x) = 53  $

Step-by-step explanation: Incomplete question. From google the question is (paste)

Suppose the total cost function for manufacturing a certain product C(x) is given by the function below, where C (x) is measured in dollars and x represents the number of units produced. Find the level of production that will minimize the average cost. (Round your answer to the nearest whole number.)

C(x)=0.2(0.01x^2+133)

If C(x) = 0.2(0.01x^2+133) ;  and  x numbers of produced units, the average cost is

Ca(x)  = ( 0,002*x²  +  26,6) /x       ⇒     Ca(x)  = 0.002*x  + 26.6/x

Taking derivatives on both sides of the equation

Ca´(x)  =  0.002   -  26.6/x²              Ca´(x)  = 0

0.002   -  26.6/x²  = 0       ⇒   0.002x² -26.6  = 0

x²  =  26.6 /0.002        

x  =  115,33              ⇒  x  = 115 units

And the level of production will be

C(x)=0.2(0.01x^2+133)

C(x)= 0.002*x² + 26,6

C(x)= 26.45  +  26,60

C(x)= 53.05 $

C(x) = 53  $

astronomers is your final answer! : )