The O’Dwyer family owns 410 acres of farmland in Co. Offaly on which they grow wheat and oats. Each acre of wheat costs €105 to plant, cultivate, and harvest; each acre of oats costs €210. The Bradleys have a budget of €52,500 for next year. The government limits the number of acres of oats that can be planted to 100. The profit from each acre of wheat is €300; the profit from each acre of oats is €520. The O’Dwyers want to know how many acres of each crop to plant in order to maximize their profit. Solve the linear programming model i.e. find the optimal solution to the model so that the O’Dwyers can decide how many acres of wheat and oats they should plant. How many acres of farmland will not be cultivated at the optimal solution?
The O’Dwyer family owns 410 acres of farmland in Co. Offaly on which they grow wheat and oats. Each acre of wheat costs €105 to plant, cultivate, and harvest; each acre of oats costs €210. The Bradleys have a budget of €52,500 for next year. The government limits the number of acres of oats that can be planted to 100. The profit from each acre of wheat is €300; the profit from each acre of oats is €520. The O’Dwyers want to know how many acres of each crop to plant in order to maximize their profit.
Solve the linear programming model i.e. find the optimal solution to the model so that the O’Dwyers can decide how many acres of wheat and oats they should plant.
How many acres of farmland will not be cultivated at the optimal solution?
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