Suppose That the Cost of Manufacturing X Units of a Product

question 53

Short Answer

Suppose that the cost of manufacturing x units of a product is C(x) = 6x - 2 $\sqrt { x }$ + 1 dollars and that the production level t weeks from the present is x = 4 $t ^ { 2 }$ . Find the rate of change in cost with respect to time. Enter your answer as a polynomial in t in standard form (not labeled).

---

Definitions:

Pooled Proportion

The weighted average of proportions from different samples or groups, used in statistical analysis.

Null Hypothesis

A default hypothesis that there is no significant difference or effect, often tested against an alternative hypothesis in statistical analyses.

Confidence Interval

A range of values, derived from sample statistics, that is likely to contain the value of an unknown population parameter, based on a specified confidence level.

Proportion Difference

The difference in proportions (or percentages) between two groups in a study, used to assess the effect of a treatment or intervention.