Formulate the situation as a system of inequalities Let x re

Formulate the situation as a system of inequalities. (Let x represent the number of goats the farmer can raise and y represent the number of llamas.)

A rancher raises goats and llamas on his 800-acre ranch. Each goat needs 4 acres of land and requires $100 of veterinary care per year, while each llama needs 10 acres of land and requires $80 of veterinary care per year. If the rancher can afford no more than $13,200 for veterinary care this year, how many of each animal can he raise?

Solution

4*x + 10*y < 800

100*x + 80*y < 13200

x > 0

y > 0