A company produces two industrial products, $x$ and $y,$ that require wiring and testing

during the assembly process. Each unit of $x$ requires $2$ hours of wiring and $1$ hour of

testing and can be sold for a $$250$ profit. Each unit of $y$ requires $3$ hours of wiring and $2$

hours of testing and can be sold for a $$150$ profit. There are $260$ hours of wiring time an

$140$ hours of testing time available in the next production period.

To maximize profit, formulate an LP model for this problem and solve it for the optimal

solution using the graphical method.

Refer to ex$.1.$ What if the management of the company decides that it needs to produce

at least $20$ units of $x$ and $20$ units of $y?$

Reformulate the model and solve for the optimal solution using the graphical method.