Exercise 1 1. A certain butcher shop traditionally makes its meat loaf from a cumbinution of lean ground beer and ground pork. The ground beef contuins 80 per cent mean and 20 per tent fiti and costs the shop $50 per pound; the groutid pork centains 68 per cent nicat and 32 per cent fint. and cas $60 per pound. How much of each kind of meat should the shop use in esch pound of meat loaf if it wants to minimixe its cost and to keep the fat contern of the meat louf to not more than 25 per cent? Required - Formulate the LP medel 2. Famer Shahirullah must detemmine how muny acres of com and wheat to plant this year. An acre of wheat vields 25 bushels of whesr and requires 10 bours of labour per week An mere of ean yields 10 bushels of corn and roquines 4 hours of labour per week. All when centeg sold an S4 a bushel, and all com can be sold at $3 a bushel. Seven acres of land and 40 hours per ineek of labour are available. Govemment regulations require that at least 30 bushels of combe profuced during the current year. Let x1= number of actes of corn plinated, and x2= number of acres of whest planted. Using these decision variables, formulate the LP whose solution will tell farmer Shakirullah how to maximize the total revenue frord whest and com. 3. A Television menufacturing company has wo decide on the number 27 and 20 - inch set to be producad at one of its factories. Market research indicates thar at most ff of the 27 - idech sets and 10 of the 20 - incts sets can be sold per month. The maximum number of work bour available is 500 per month. A 27 -inch set requires 20 work hours and a 20 -inch requites 10 work hours. Esch 27 - inch set sold Fuduces a profit of $1200 and cich 20 - inch set. produces a profit of $800. A wholester hos agreed to purshase all the Telervion sets produced if the numbers do not exosed the asaximum indreased by murket nesearel formulate a linear programming nodel for this problem. Ne Present Value (NPV) (in willichs of dollars) ire given in the Table I below. Tetal Oil bis