A town has a merchant, a baker, and a farmer. To produce $1 worth of output, the merchant requires $0.20 worth of baked goods

Question

A town has a merchant, a baker, and a farmer. To produce $1 worth of output, the merchant requires $0.20 worth of baked goods and $0.45 worth of the farmer's products. To produce $1 worth of output, the baker requires $0.4 worth of the merchant's goods, $0.20 worth of his own goods, and $0.35 worth of the farmer's goods. To produce $1 worth of output, the farmer requires $0.30 worth of the merchant's goods, $0.25 worth of baked goods, and $0.35 worth of his own products. How much should the merchant, baker, and farmer produce to meet a demand for $25,000 worth of output from the merchant, $14,000 worth of output from the baker, and $12,000 worth of output from the farmer? The merchant should produce $, the baker should produce $, and the farmer should produce $[ (Round the final answer to the nearest dollar as needed. Round all intermediate values to two decimal places as needed.)

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