Question

Minimizing Average Cost 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 (in units) that will minimize the average cost. (Round your answer to the nearest whole number.)
C(x) = 0.2(0.01x2 + 141)
___ units

Answer 1

as you know, average = total/size So avg cost A(x) is
A(x) = C(x)/x = 0.2 (0.01x + 141/x)
dA/dx = 0 at x = 10√141

Answer 2

g(x)= x sqrt (9-x^2) on [0,3]
Max: