For the given cost function $C(x)=54\sqrt[\phantom{2}]{x}+\frac{x^2}{125000}$ find

a$)$ The cost at the production level $1950$

b$)$ The average cost at the production level $1950$

c$)$ The marginal cost at the production level $1950$

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

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e$)$ The minimal average cost. $$

Give answers to at least $3$ decimal places.

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