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 200 total cars and trucks each week.

A toy company needs to profit at least $500 from selling cars and trucks. A car can make a profit $2 while the truck can $3 profit.

let x be the number of cars

let y be the number of truck

If 200 resources for the car per week, we have:

Profit = $2x + $3y

$500 = $2*200 + $3*y

$500 - $400 = $3y

100 = 3y

y = 100/3 = 33.33

The number of trucks needs to produce per week is at least 34 pieces.