Explain what optimization and linear programming problems entail. How do you solve them? What are some of the ways these problems can be made easier? How are these problems beneficial? What types of jobs would use the reasoning involved in these kinds of problems?

Answer asap and if you do you will get brainliest. catherine buys a gallon of ice cream from the store. after taking it home, she eats a fifth of a gallon of ice cream. her sister eats some of the ice cream as well. if two-thirds of the original amount of ice cream is left, then what fraction of a gallon of ice cream did her sister eat?