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, Super-gro and Crop-quick.Each brand yields a specific amount of nitrogen and phosphate, as follows:

 

†††††††††††††††††† Nitrogen††††††††††††††† Phosphate

†††††††††††††††††††††††††††† (lb/bag)†††††††††††††††† (lb/bag)†††††††

Super-gro††††††††††††† †† 2††††††††††††††††††††††† ††† 4

Crop-quick††††††††††† †† 4††††††††††††††††††††††† ††† 3

 

The farmerís field requires at least 16 pounds of nitrogen and 24 pounds of phosphate.Super-gro cost $6 per bag, and Crop-quick cost $3 per bag.The farmer wants to know how many bags of each brand to purchase in order to minimize the total cost of fertilizing.