An oil drilling company wishes to locate a supply base somewhere in the jungle area where it is presently exploring for oil. The base will service drilling sites at map coordinates (0, -30),

(50, -10), (70, 20), and (30, 50) with helicopter supply runs. The company wishes to choose a location that minimizes the sum of flying distances to the four sites.

(a) Formulate an unconstrained NLP to choose an optimum base location.

(b) Use class optimization software to compute at least a local optimum starting from coordinates (10, 10).