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Mr Huckey Case Study

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Mr. Hurley has a challenge on his hands, the largest of which is that he asked me to figure this out. Ok now seriously we have to being to analyze the problem. The first thing we want to do is identify the variables. In this case our variables will be the number of acres of corn and the amount of wheat that is planted. We will further define them later. Next we have to identify our objective. In this case we are looking to maximize profits and determine if participation in the government program will provide him with greater profits than not participating in the program. Finally we identify the constraints; in our example the constraints are the rotation restrictions: must plant at least 50 acres of each crop, if he participates in the …show more content…

We do this by noting what Mr. Hurley has at his disposal. In this case he has corn and wheat we will assign them as follows: X1= number of acres of corn to plant this …show more content…

Since the profit is the largest from corn it makes sense to plant and harvest as much corn as possible, however the requirement to have a minimum of 50 acres of wheat ensures that wheat is still in the mix. So by opting to plant only the minimum wheat (50 acres) and maximizing on the remaining land for corn (200 acres) we can calculate the profits expected and compare the two models. MAXIMIZE 184X1 + 125X2 184(200) + 125

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