Formulate the situation as a linear programming problem by identifying the variables, the objective function, and the constraints. be sure to state clearly the meaning of each variable. determine whether a solution exists, and if it does, find it. state your final answer in terms of the original question. a rancher raises goats and llamas on his 400-acre ranch. each goat needs 2 acres of land and requires $100 of veterinary care per year, and each llama needs 5 acres of land and requires $80 of veterinary care per year. the rancher can afford no more than $13,200 for veterinary care this year. if the expected profit is $42 for each goat and $63 for each llama, how many of each animal should he raise to obtain the greatest possible profit? the rancher should raise goats and llamas for a maximum profit of $