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Question 5. (15 points) You have realized that the number of plants, y, that you can grow in your garden, depends on the amount of

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Question 5. (15 points) You have realized that the number of plants, y, that you can grow in your garden, depends on the amount of fertilizer, f, and water, h. 1 In fact, you have noticed that your plants need twice as much fertilizer as water, and using any other ratio leads to input being wasted. Suppo sc that each unit of fertilizer costs w] and each unit of water costs w2. a] What might be your production Jnction'? {There is more than one possible answer given the prompt, pick your favorite.) b] Suppose you want to grow four plants. Using the production function from the previous part, what are the minimum amounts of fertilizer and water required? c) Draw a few isoquants and isocosts. d] 1What is your conditional factor demand function for fertilizer, :w1, wZ, y}, and your conditional factor demand flmction for water, h(w1, wE, y)

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