Table $10-6$

The profit function for a set of two electronics products can be

expressed by the following expression: $x_1^2-2x_1-3x_2+2x_2^2$

where $x_1=$ the number of product $1$ units produced and $x_2=$

the number of product $2$ units produced. At least $10$ units of $x_1$

must be produced and at least $20$ units of $x_2$ must be produced.

No more than $50$ units total can be produced.

What type of mathematical programming model is required for

the problem described in Table $10-6?$

an integer programming model

a goal programming model

a nonlinear programming model

a zero$-$one integer programming model