Solve the problem.
-A manufacturerʹs cost is given by $$C = 100 \sqrt [ 3 ] { n } + 200$$
A) 400
B) 2000
C) 8000
D) 64,000

Question

Quizplus · Accepted Answer

To minimize the cost, we need to find the value of n that makes the expression inside the cube root sign equal to the smallest possible value. Since n is a positive quantity, the smallest possible value occurs when n = 1. Plugging this into the cost equation, we get:
C = 100√1 + 200 = 300

Therefore, the lowest possible cost is $300. None of the answer choices are equal to $300, so we choose the answer that is closest to it, which is C) 8000.

Solve the Problem C=100n3+200C = 100 \sqrt [ 3 ] { n } + 200C=1003n​+200

Solve the Problem $C = 100 \sqrt [ 3 ] { n } + 200$