Solve the Problem $C = 300 ( \sqrt [ 3 ] { \mathrm { n } } ) + 200$

Multiple Choice

Solve the problem.
-A manufacturer's cost is given by $C = 300 ( \sqrt [ 3 ] { \mathrm { n } } ) + 200$ dollars, where $C$ is the cost and $\mathrm { n }$ is the number of parts produced. How many parts are produced when the cost is $\$ 5600$ ?

A) 5400 parts
B) 5832 parts
C) 46,656 parts
D) 324 parts