$4.$ Formulate the following problem as a Linear Programming Problem in standard form $($specify variables, objective function, and constraints$).$ Then solve this LPP by hand using the standard maximization Simplex Method. Show all your calculations.Farmer Jones must determine how many acres of corn and wheat to plant this year. An acre of wheat yields $25$ bushels of wheat and requires $10$ hours of labor per week. An acre of corn yields $10$ bushels of corn and requires $4$ hours of labor per week. All wheat can be sold at $$4$ a bushel, and all corn can be sold at $$3$ a bushel. Seven acres of land and $40$ hours per week of labor are available. Government regulations require that at least$30$ bushels of corn be produced during the current year. Let x$1=$ number of acres of cornplanted, and x$2=$ number of acres of wheat planted. Using these decision variables,formulate an LP whose solution will tell Farmer Jones how to maximize the total revenue from wheat and corn.

$5.$ Formulate the following problem as a Linear Programming Problem in standard minimization form $($specify variables, objective function, and constraints$).$ Then, set up the initial tableau and solve this minimization problem using LP Assistant. Take a screenshot of your LP Assistant solution.A steel company has two mills. Mill $1$ costs $$70,000$ per day to operate, and it can produce $400$ tons of high$-$grade steel, $500$ tons of medium$-$grade steel, and $450$ tons of low$-$grade steel each day. Mill $2$ costs $$60,000$ per day to operate, and it can produce $350$ tons of high$-$grade steel, $600$ tons of medium$-$grade steel, and $400$ tons of low$-$grade steel each day. The company has orders totaling $100,000$ tons of high$-$grade steel, $150,000$ tons of medium$-$grade steel, and $124,500$ tons of low$-$grade steel. How many days should the company run each mill to minimize its costs and still fill the orders?