Answer to Question #340114 in Operations Research for Maneo

Question

A farmer is preparing to plant a crop in the spring and needs to fertilize a field. There are twobrands of fertilizer to choose from, Super-Gro and Crop Quick. Each brand yields a specific amountof Nitrogen and Phosphate per bag as follows.

Brand Chemical Contribution

Nitrogen (lb/bag) Phosphate (lb/bag)

Super-Gro 24

Crop Quick 43

The farmer’s field requires at least 16 pounds of nitrogen and at least 24 pounds of phosphate. Super- gro costs M6 per bag, and Crop Quick costs M3per bag.

1) The farmer wants to know how many bags of each brand to purchase in order to minimize thetotal cost of fertilizing.

2) Formulate a mathematical model of the problem.

Answer 1

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