Weenies and Buns is a food processing plant which manu-factures hot dogs and hot dog buns. They grind their own flour forthe hot dog buns at a maximum rate of 200 pounds per week. Eachhot dog bun requires 0.1 pound of flour. They currently have a con-tract with Pigland, Inc., which specifies that a delivery of 800pounds of pork product is delivered every Monday. Each hot dogrequires pound of pork product. All the other ingredients in thehot dogs and hot dog buns are in plentiful supply. Finally, the laborforce at Weenies and Buns consists of 5 employees working fulltime (40 hours per week each). Each hot dog requires 3 minutes oflabor, and each hot dog bun requires 2 minutes of labor. Each hotdog yields a profit of $0.88, and each bun yields a profit of $0.33.Weenies and Buns would like to know how many hot dogsand how many hot dog buns they should produce each week so asto achieve the highest possible profit.(a)Formulate a linear programming model for this problem