The pair x y that solves the problem in a also solves the

Question

Question: (a) Solve the problem max -x² - y² subject to x - 3y ≤ -10.

(b) The pair (x∗, y∗) that solves the problem in (a) also solves the minimization problem min (x² + y²) subject to x - 3y ≤ -10. Sketch the admissible set S and explain the solution geometrically.