Consider the following nonlinear programming problem

Minimize $,Z=x_1^4+2x_1^2+2x_1{x}_2+4x_2^2,$

subject $to$

$2x_1+x_{2}10$

$x_1+2x_{2}10$

and

$x_{1}0,x_{2}0.$

From the special types $of$ nonlinear programming problems described $in$ section $13\mathrm{.}3,$

$to$ which $typ\frac{e}{t}$ypes can this problem $be$ fitted? Justify your answer.