find-the-production-level-that-will-minimize-the-average-cost-for-a-factory-wher

Question

Find the production level that will minimize the average cost for a factory where the cost of producing $x$ units of the product is given by $c (x) = x^{3} - 40 x^{2} + 16000 x$ .

Accepted Answer

<math alttext="20" data-value="20"><semantics><mrow><mn>20</mn></mrow><annotation>20</annotation></semantics></math> units

Answer

<math alttext="10" data-value="10"><semantics><mrow><mn>10</mn></mrow><annotation>10</annotation></semantics></math> units

Answer

<math alttext="40" data-value="40"><semantics><mrow><mn>40</mn></mrow><annotation>40</annotation></semantics></math> units

Answer

<math alttext="50" data-value="50"><semantics><mrow><mn>50</mn></mrow><annotation>50</annotation></semantics></math> units

Find the production level that will minimize the average cost for a factory where the cost of producing xx units of the product is given by c(x)=x3−40x2+16000xc(x)=x^3-40x^2+16000x.

Find the production level that will minimize the average cost for a factory where the cost of producing $x$ units of the product is given by $c (x) = x^{3} - 40 x^{2} + 16000 x$ .