Simplify the rational expression. Use factoring, and assume all variable expressions represent positive real numbers.
-A manufacturer's cost is given b $C = 400 n ^ { 1 / 3 } + 1300$ , where C is the cost in dollars and n is the number of parts produced. Find the cost when 216 parts are produced.
A) $2500
B) $7180
C) $3700
D) $67

Question

Quizplus · Accepted Answer

To find the cost when 216 parts are produced, substitute n = 216 into the expression: $C = 400 \times 216^{1/3} + 1300$. Since $216^{1/3} = 6$, the expression becomes $C = 400 \times 6 + 1300 = 2400 + 1300 = 3700$.

Simplify the Rational Expression C=400n1/3+1300C = 400 n ^ { 1 / 3 } + 1300C=400n1/3+1300

Simplify the Rational Expression $C = 400 n ^ { 1 / 3 } + 1300$