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According to an agricultural report. the amounts of nitrogen (lb/acre) , phosphate (lb/acre), and labor (lb/acre), needed to grow three different vegetables are given by

According to an agricultural report. the amounts of nitrogen (lb/acre) , phosphate (lb/acre), and labor (lb/acre), needed to grow three different vegetables are given by the following table:
Vegetable A Vegetable B Vegetable C
Nitrogen 120. 150. 170.
Phosphate. 140. 100. 80.
Labor. 4.8. 4.4. 4.6
If a farmer has 260 acres, 36200 pounds of nitrogen, 30000 pounds of phosphate, and 1200 hours of labor, can he use all of his resources completely? If so, how many acres should he allot for each crop?

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