$6-37$ Consider the following NLP problem:

Maximize $4x_1+2x_2-3x_3+2x_1{x}_2+8x_3^3$

subject to the constraints

$2x_1+4x_2+3x_3,29$

$3x_1+x_2,14$

$x_1+x_2+x_3,10$

$x_1,x_2,x_3,0$

$($a$)$ Set up and solve the model using Solver. Use a starting value of zero for all decision variables.

$($b$)$ Is the solution obtaiued a local optimal or global optimal solution? Hnw do you know?