Three Different Bacteria Are Cultured in One Dish and Feed

question 131

Multiple Choice

Three different bacteria are cultured in one dish and feed on three nutrients. Each individual of species I consumes 1 unit of each of the first and second nutrients and 2 units of the third nutrient. Each individual of species II consumes 2 units of the first nutrient and 2 units of the third nutrient. Each individual of species III consumes 2 units of the first nutrient, 3 units of the second nutrient, and 5 units of the third nutrient. Let x₁, x₂ and x₃ represent species I, II and III respectively. If the culture is given units of the first nutrient, units of the second nutrient, and units of the third nutrient, how many of each species can be supported such that all of the nutrients are consumed? ​

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