Solve the following problems under the 2 different constraints given and compare your answers. Be sure to use a Lagrangian and compare the values of

(a) minZ = x² + y² subject to x + y = 10 and x + y 10.

(b) max = 100K^1/2+100L^1/210K5L subject to K+L = 100 and K+L = 200.