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

Question

Quizplus · Accepted Answer

To find the number of parts produced ($n$) when the cost ($C$) is $5600, we substitute $5600 for $C$ in the equation and solve for $n$:$$5600 = 300(\sqrt[3]{n}) + 200$$Subtract 200 from both sides:$$5400 = 300(\sqrt[3]{n})$$Divide both sides by 300:$$18 = \sqrt[3]{n}$$Cube both sides to solve for $n$:$$n = 18^3 = 5832$$Therefore, 5832 parts are produced.

Solve the Problem C=300(n3)+200C = 300 ( \sqrt [ 3 ] { \mathrm { n } } ) + 200C=300(3n​)+200

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