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A farmer is preparing to plant a crop in the spring and needs to fertilize a field. There are two brands of fertilizer to choose from Great-gro and Super Crop. Each brand yields a specific amount of nitrogen and phosphate per bag. The farmer’s field needs at least 18 pounds of nitrogen and at least 22 pounds of phosphate. How many bags of each brand should be used on the field to minimize the total cost of fertilizing and meet the requirements? Solve this two decision variable problem using the LP Graphing utility. Resource Requirements Product Nitrogen (lbs./ bag ) Phosphate (lbs./ bag ) Cost ($/bag ) Great - gro 2 5 6 Super Crop 4 3 3 a) What is the cost (value of the objective function) for the optimal solution? b) How many bags of Great-gro should be used? c) How many bags of Super Crop should be used? d) Is the use of 3 bags of Great-gro and 4 bags of Super Crop feasible (not asking if it is optimal). Does it fall in the feasible region? e) Is the use of 2 bags of Great-gro and 3 bags of Super Crop feasible bowls feasible (not asking if it is optimal). Does it fall in the feasible region?

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Operation Management, Management Studies

Category:- Operation Management
Reference No.:- M91906004

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