They help me to solve the following linear programming problem by the big M method A farmer in a rural area is raising pigs that eat a special food mix every day. The food can be prepared with corn and soybean meal according to the following description: each pound of corn contains: 0.01lb of calcium, 0.79lb of protein and 0.2lb of fiber. Each pound of soy flour contains: 0.02lb of calcium, 0.6lb of protein and 0.38lb of fiber. The cost for each pound of corn is $ 1.28 and for each pound of soybean meal it is $ 1.42. The daily requirements of the prepared food are: minimum cost 0.5lb of calcium; at least 25lb of protein and maximum 20lb of fiber. If using a maximum mix of 50lb of specialty food daily, determine the number of pounds of corn and soybean meal that should be mixed each day in order to minimize the daily cost of feeding.