Awesome Optimizing Wizard that you are, Dumbledore has approached you to make wands for the wizarding community. Dumbledore would like for you to make quantities of two types of wands that require different types of magical components. Each Hufflepuff wand requires one phoenix tail feather and 2 feet of olive wood. Each Gryffindor wand requires 3 phoenix tail feathers and 2 feet of olive wood. You have 200 tail feathers and 300 feet of wood at your disposal. Your objective in making the wands is to maximize the total magic produced. Each Huf- flepuff wand counts for one unit of magic, and each Gryffindor wand will bring 2 units of magic. Dumbledore has decreed that at most 60 Gryffindor wands can be made.

Write a GAMS model to maximize the magic in the wands produced.