An urban farmer is pondering whether to invest in ducks or chickens to raise for eggs that she plans to sell to friends and neighbors. The materials needed to make a good henhouse and chicken run cost $560. A simple setup for ducks is slightly higher, or $620, because they require water at all times. Ducklings and chicks are about the same in priceshe figures that $20 is needed to get four females of either species. A 50-pound sack of layer pellets costs $14, and water is essentially free. It will take the four hens a month to work their way through the sack of feed and during that time she can collect 84 eggs. She plans to sell them for $5 per dozen. Ducks eat at the same rate but lay eggs at a higher ratein one month she believes she can collect 108 eggs. Because duck eggs are more highly prized by consumers, the urban farmer believes they will sell for $6 per dozen.

1. Suppose she decides to get both ducks and chickens, each receiving their own area in her backyard with separate housing. Plot profit lines for both ventures over a three-year period. Then, determine the range of output for when each venture is superior.