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The number of acres a farmer uses for planting pumpkins will be at least 2 times the number of acres for planting corn. The difference between the...
The number of acres a farmer uses for planting pumpkins will be at least 2 times the number of acres for planting corn. The difference between the acres of pumpkin and corn crops will not exceed 10. He will plant between 12 and 18 acres of pumpkins. The profit for each acre of corn is $225 and the profit for each acre of pumpkins is $360.
(a) Write the constraints for the situation. Let x be the number of acres of corn and let y be the number of acres of pumpkins.
(b) Write the objective function for the situation.
(c) Graph the feasible region. Label the vertex points with their coordinates.
(d) How many acres of each crop should the farmer plant to maximize the profit? How much is that profit?
