Question

Hello im stuck on this hw problem and need help ty

Answer 1

The amount of money that Abdul is going to donate to the City Youth Fund is denoted by x, and the amount of money that Abdul is going to donate to the Educational Growth Foundation is denoted by y.

Since Abdul will donate up to $500, the sum of those amounts must be less or equal to 500.

`x+y\leq500`

It is not possible to donate less than zero, therefore, we also have the following constrains

`\begin{gathered} x\geq0 \\ y\geq0 \end{gathered}`

Abdul wants the amount of money donated to the Educational Growth Foundation to be at least 4 times the amount of money donated to the City Youth Fund, therefore, we have our final constrain

`4x\leq y`

Combining those four regions, the solution is their interception, which is