The Natural Fertilizer Company makes three types of fertilizer: 20-5-5 for lawns, 10-15-10 for gardens, and 5-5-5 for trees. The numbers in each case refer to the percentage by weight of nitrates, phosphates, and potash, respectively. The fertilizer is packed in 100-pound sacks. The company has the following amounts of raw materials on hand: 7 tons of nitrates, 4 tons of phosphates, and 3 tons of potash. The profit per 100-pound sack of lawn fertilizer is dollar 6, the profit per sack of garden fertilizer is dollar 4, and the profit per sack of tree fertilizer is dollar 3. The company has a contract to supply at least 1 ton of garden fertilizer. How much of each fertilizer should the company produce to maximize profit question