[T] The total cost $C(x),$ in hundreds of dollars, to produce $x$ jars of mayonnaise is given by

$C(x)=0.000003 x^{3}+4 x+300$

a. Calculate the average cost per jar over the following intervals:

i. $[100,100.1]$

ii. $[100,100.01]$

iii. $[100,100.001]$

iv. $[100,100.0001]$

b. Use the answers from a. to estimate the average cost to produce 100 jars of mayonnaise.