Formulate the following problem into Linear Programming Problem LPP and find the optimal Solution [1] 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 80 cents per pound; the ground pork contains 68 percent meat and 32 percent fat, and costs 60 cents 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 costs and to keep the fat content of the meat loaf to no more than 25 percent? [2] A hiker plans to go on a camping trip. There are five items the hiker wishes to take with her, but together they exceed the 60-lb weight limit she feels she can carry. To assist herself in the selection process she has assigned a value to each item in ascending order of importance: Item 1 2 3 4 5 Weight, lb 52 23 35 15 7 Value 100 60 70 15 15 Which items should she take to maximize the total value without exceeding the weight restriction? [3] A furniture maker has 6 units of wood and 28 hours of free time, in which he will make decorative screens. Two models have sold well in the past, so he will restrict himself to those two. He estimates that model I requires 2 units of wood and 7 hours of time, while model II requires 1 unit of wood and 8 hours of time. The prices of the models are 120 SAR and 80 SAR, respectively. How many screens of each model should the furniture maker assemble if he wishes to maximize his sales revenue? Formulate and solve the above problem using the Graphical Solution Procedure