A rancher raises goats and llamas on her 500-acre ranch. Each goat needs 3 acres of land and requires $100 of veterinary care per year, and each llama requires 5 acres of land and requires $120 of veterinary care per year. The rancher can afford no more than $11,700 for veterinary care this year. If the expected profit is $60 for each goat and $100 for each llama, how many type of each animal should she raise to obtain the maximum profit? SET UP BUT DO NOT SOLVE - BE SURE TO PUT YOUR MAXIMIZE OR MINIMIZE EQUATION ALSO