For the given cost function $C(x)=16\sqrt[\phantom{2}]{x}\frac{x^2}{166375}$ find

a$)$ The cost at the production level $1700$

b$)$ The average cost at the production level $1700$

c$)$ The marginal cost at the production level $1700$

d$)$ The production level that will minimize the merage cost.

e$)$ The minimal average cost. $$

Give answers to at least $3$ decimal places.