A store has two types of animal feed available. Type A contains 9 pounds of oats and 2 pounds of corn per bag. Type B contains 4 pounds of oats and pounds of corn per bag. A farmer wants to combine the two types so that the resulting mixture has at least 46 pounds of oats and at least 24 pounds of corn. The store only has 12 bags of type A feed and 14 bags of type B feed in stock. Type A costs $3 per bag, and type B costs $4 per bag. How many bags of each type should the farmer buy to minimize her cost?

A and B to represent the pounds of each type of feed, and C to represent the cost, our objective function (the cost of the feed) is

C = 3A + 4B

And the constraints are below:

9A + 5B >= 46

2A + 10B >= 24

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