A vegetable farmer would like to apply broiler manure to his vegetables. He has found a nearby broiler producer who will sell him broiler manure at a reasonable price. It has an analysis of 52 lb N/ton, 22 lb P/ton, and 36 lb K/ton. (1 ton = 2000 pounds) The recommended fertilization rate for his vegetable crop is 104 lb N/ac-yr, 50 lb P₂O₅/ac-yr, and 80 lb K₂O/ac-yr. For the purpose of working this problem, assume that 100% of the nutrients in the broiler manure will be available in the first year.

1. How many tons/ac-yr of broiler manure should the farmer apply to meet the nitrogen requirement of his vegetable crop?

2. How many tons/ac-yr of broiler manure should the farmer apply to meet the phosphorus (P₂O₅) requirement of his vegetable crop?

3. If the farmer has 100 acres of vegetables, how many tons of broiler manure should he purchase to meet the nitrogen requirement of his crop? (Ignore the P2O5 and K2O requirements.)

Please show work