Three different species of insects are reared together in a laboratory cage. They are

Chapter 9, Problem 36

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Three different species of insects are reared together in a laboratory cage. They are supplied with two different types of food each day. Each individual of species 1 consumes 3 units of food A and 5 units of food B, each individual of species 2 consumes 2 units of food A and 3 units of food B, and individual of species 3 consumes 1 unit of food A and 2 units of food B. Each day, 500 units of food A and 900 units of food B are supplied. How many individuals of each species can be reared together? Is there more than one solution? What happens if we add 550 units of a third type of food, called C, and each individual of species 1 consumes 2 units of food C, each individual of species 2 consumes 4 units of food C, and each individual of species 3 consumes 1 unit of food C?

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