Answer:
2,744
Step-by-step explanation:
[tex]C = 400 \sqrt[3]{n} + 200 \\ \\ plug \: C =5800 \\ \\ 5800 = 400 \sqrt[3]{n} + 200 \\ \\ 5800 - 200 = 400 \sqrt[3]{n} \\ \\ 5600 = 400 \sqrt[3]{n} \\ \\ \frac{5600}{400} = \sqrt[3]{n} \\ \\ 14 = \sqrt[3]{n} \\ \\ {(14) }^{3} = {(\sqrt[3]{n})}^{3} \\ (cubing\: both\: sides) \\\\ 2,744 = n \\ \\ n = 2,744[/tex]
