Question

5.

Answer 1

ALet's call c the number of cars made and t the number of trucks made.
We know that they can make no more than 200 toys a week. This means that $c+t \leq 200$
We know that the cars yield a profit of $2 so the money made from cars is 2c and that the profit for trucks is $3 so the profit for trucks is 3t. Adding these gives the profit which must be 500 or more. That is,$2c+3t \geq 500$
BThey can indeed stay in business. Since they can produce 200 toys, they can produce 100 cars and 100 trucks. 100 cars will yield a profit of (100)(2) = 200. The 100 trucks will yield a profit of (100)(3). Together that is a profit of 200+300=500 which is the minimum needed to stay in business.