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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.

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. 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.

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