An International Farming Company operates a large farm on which tomatoes are produced. The farm manager determined that for the tomatoes to grow in the desired fashion, they need at least minimum amounts of four fertilizers. The manager is considering three different Mixes to feed the soil. The table below lists the number of units of each fertilizer in each pound of a mix, the minimum daily requirements of each fertilizer for each tomato plant, and the cost of each Mix. The manager believes that as long as the plants receive the minimum daily amount of each fertilizer, they will be healthy and produce a standard amount of tomatoes. The manager wants to operate the farm at a minimum cost. Daily Minimum Requirement (unit) Mix 1 Mix Type Mix 2 Mix 3 Nitrogen fertilizers 20 30 70 110 Nitrogen fertilizers 10 10 0 18 Phosphorus fertilizers 50 30 0 90 Potassium fertilizers 6 2.5 10 14 Cost (Cent/lb) 41 36 96