Newline Recyclers processes used aluminum into food or dink containers. The recycling plant processes up to 1200 tons of aluminum per week. At least 300 tons must be produced for food containers, while at least 450 tons must be produced for drink containers. The profit is $17.50 per ton for processing food containers and $20 per ton for processing drink containers. What is the profit if the plant maximizes processing?

1 answer

I assume the plant wants to maximize profit. Since more money is made per ton processing drink containers, maximum profit would be obtained when the minimum required amount of aluminum (300 tons) goes for food containers.

That profit is 300*17.50 + 900*20.00
dollars per week