Solve the following linear optimization problem with python or matlab:

(,,)=++

we can have two kind of quadratic constraints for this problem:

1- h1(,,)=()^2 + ()^2 + ()^2 ^2 0

2- h2(,,)=()^2 + ()^2 + ()^2 ^2 = 0

a	b	c	d	e	f	r
0.9	1.1	3.1	8.9	4.9	5.6	1.4

According to these please solve with python or Matlab the following questions:

a) Find global minimum and global maximum values of for constraint of 1.

b) Give the locations of the min and max values that you found in part a. (i.e. what are ,, coordinates of min and max values for the problem in part a)?)

c) Find global minimum and global maximum values of for constraint of 2.

d) Give the locations of the min and max values that you found in part c. (i.e. what are ,, coordinates of min and max values for the problem in part c)?)