Simplex Maximization Problem: Try This Out! Example. A poultry raiser plans to raise chicken, ducks and turkeys. He has room for only 200 birds and wishes to limit the number of turkeys to a maximum of 25, the number of turkeys and ducks to a maximum of 100. His estimated profits are Php 30, Php 25 and Php 125 on each chicken, duck and turkey respectively. How many of each should he raise to maximize his profit