The Village Butcher Shop traditionally makes its meat loaf from a combination of lean ground beef and ground pork. The ground beef contains 80 percent meat and 20 percent fat, and costs the shop 80 Rupees per pound; the ground pork contains 68 percent and 32 percent of fat, and costs 60 Rupees per pound. How much of each kind of meat should the shop use in each pound of meat loaf if it wants to minimize its cost and to keep the fat content of the meat loaf to no more than 25 perecnt? (a) Find the mathematical linear program of the above problem. (b) Use graphical method to find the optimal solution of the above problem. Apply Simplex method to solve the following problem: Maximize: z= x + x Subject to: x+5x 5 2x+x 4 With: x, x non-negative.