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Question of the Day: Finite Mathematics

It is suggested (but not necessary) that you use a calculator with matrix capability to work this problem.

A small factory produces Food A and Food B.

For every pound of Food A produced, one ounce of Food A and two ounces of Food B are consumed. For every pound of Food B produced, one half ounce of Food A and one ounce of Food B are consumed. The factory must meet a monthly demand of two thousand pounds of Food A and three thousand pounds of Food B.

Use a Leontief model to determine how many pounds of Food A and Food B must be produced to meet the demand. Then answer the question - to the nearest whole pound, how many pounds of Food B must be produced?

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