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 per bushel. Seven (7) 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. (a) By using the decision variables x1=number of bushels of corn produced and x2=number of bushels of wheat produced, reformulate Farmer Jone's LPP given in Problem 1.
(b) Determine graphically the feasible region (FR) of the LPP from (a). Find the coordinates of all extreme (corner) points of the FR.
(c) Solve the LP obtained in (a) by using Extreme Point Theorem. How many optimal solutions does the LPP have?