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Find the maximum yield function from the given data
An apple tree produces, on average, 400Kg of fruit each season. However, if more than 200 trees are planted per , crowding reduces the yield by 1 Kg for each tree over 200.(a) Express the total yield from one square Kilometer as a function of the number of trees on it. Graph this function.(b) How many trees should a farmer plant on each square Kilometer to maximize yield?
Find the vertex.
Formulate the above as linear programming problem. Solve (a) by graphical method. Solve using simplex method.
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