A small toy company makes only cars and trucks. The profit made on cars is $$2$ each and the profit made on trucks is $$3$ each. To stay in business, the company must make at least $$500$ profit each week. The company only has the resources to make up to $200$ total cars and trucks each week.   

1. Write a system of inequalities that represents possible combinations of toys that the company can make and the amount of profit they will earn. Be sure to define your variables.

   Answer (a):

   $c =$ the number of cars
   $t =$ the number of trucks
   $2c + 3t ≥ 500$

2. Can they stay in business? If so, how?