The Owner of a Small Construction Firm Is Excavating at Three

question 3

Essay

The owner of a small construction firm is excavating at three sites. He wishes to assign his 5 additional trucks in such a way as to minimize his total costs. Each site can use 0 to 3 additional trucks; no site can use more than 3 trucks efficiently. The following site total costs are known. $$\begin{array} { c | r c c } \text { Number } && { \text { Cost of Excavating } } \\\text { of Trucks }& \text { Site 1 }& \text { Site 2 }& \text { Site 3 }\\\hline 0 & \$ 10000 & \$ 15000 & \$ 20000 \\ 1 & 10000 & 14000 & 18000 \\2 & 9200 & 13250 & 17500 \\3 & 8500 & 12750 & 17250\end{array}$$
a.Use dynamic programming to find the assignment of the additional trucks that minimizes total cost.
b.If the owner had only 4 trucks to assign, what would be the optimal assignment and total cost?

---

Definitions:

Unadjusted

Describes raw or original data that has not been modified or corrected for factors that may affect interpretation, often used in the context of financial or statistical data.

Independent Variables

Variables in an experimental or observational study that are manipulated or categorized to determine their effect on dependent variables.

Coefficient Of Determination

A measure used in statistical analysis that assesses the explanatory power of a model, typically represented as R².

Residuals

Differences between observed and predicted values in a statistical model, indicating the error or unexplained variance.