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A gardener is trying to maximize profit by growing tomatoes (T) and carrots(C) with fertilizer(F). The production functions are: Tomatoes: T = 70F -

 

A gardener is trying to maximize profit by growing tomatoes (T) and carrots(C) with fertilizer(F). The production functions are: Tomatoes: T = 70F - 1.5F+ Carrots: C = 90Fc-2Fc Constraint: FT + Fc = 60 The profit is $0.50 per tomato and $0.25 per carrot. There are 60 units of fertilizer available. How much fertilizer should go to the tomatoes? Answer:

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