A manufacturer's cost is given by $C=200 \sqrt[3]{n}+200$, where $C$ is the cost and $n$ is the number of parts produced. How many parts are produced when the cost is $\$ 3600$ ?
A) 39,304
B) 289
C) 3400
D) 4913

Question

Quizplus · Accepted Answer

To find the number of parts produced when the cost is $3600, substitute $C = 3600 into the equation and solve for $n$:$$3600 = 200\sqrt[3]{n} + 200$$$$3400 = 200\sqrt[3]{n}$$$$17 = \sqrt[3]{n}$$$$n = 17^3 = 4913$$

A Manufacturer's Cost Is Given By C=200n3+200C=200 \sqrt[3]{n}+200C=2003n​+200 , Where CCC Is the Cost And

A Manufacturer's Cost Is Given By $C=200 \sqrt[3]{n}+200$ , Where $C$ Is the Cost And