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Suppose a firm produces cornQfrom waterWand fertilizerF. Can the firm have increasing returns to scale but also have diminishing returns to water? If yes, please

Suppose a firm produces cornQfrom waterWand fertilizerF. Can the firm have increasing returns to scale but also have diminishing returns to water? If yes, please give a production function that has these two properties; prove that this production function has increasing returns to scale; describe the shape of the marginal product curve of water (Is it convex or concave?). If no, please explain why these two properties are not compatible. 

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