Solve the Problem $\mathrm { C } = 200 \mathrm { n }^{ 1 / 3} + 1400$

Multiple Choice

Solve the problem.
-A manufacturer's cost is given by $\mathrm { C } = 200 \mathrm { n }^{ 1 / 3} + 1400$ , where $\mathrm { C }$ is the cost in dollars and $\mathrm { n }$ is the number of parts produced. Find the cost when 729 parts are produced.

A) $\$ 3200$
B) $\$ 2300$
C) $\$ 6800$
D) $\$ 22$