#### Answer

a. $50x+150y\gt2000$
b. See graph; red region in the first quadrant.
c. see explanations.

#### Work Step by Step

a. Based on the given conditions, we can write the inequality as $50x+150y\gt2000$
b. See graph; the solution of the above inequality is the red region in the first quadrant.
c. We can select $(30,20)$ as an example ordered pair where $50(30)+150(20)=4500\gt2000$. The coordinates show that there are 30 children and 20 adults in the elevator which is overloaded.