Consider the following LP:

Operations Research

Consider the following LP: Maxz=x1+c2x2s.t.x1+x21(1)2x1+5x210(2)2x1+x26x1,x20 a. Solve the LP graphically for c2=6. (8 pts) b. Assume that c2=6. Find the range of constraint (2) which yields the same optimal solution you obtain in a. (5 pts) c. Assume that c2=6. Determine the unit worth of increasing the RHS of constraint (1) and the range for which this result is applicable. (12 pts) d. Find the optimality range of c2 for which the current optimum remains the same. (6 pts) Consider the following LP: Maxz=x1+c2x2s.t.x1+x21(1)2x1+5x210(2)2x1+x26x1,x20 a. Solve the LP graphically for c2=6. (8 pts) b. Assume that c2=6. Find the range of constraint (2) which yields the same optimal solution you obtain in a. (5 pts) c. Assume that c2=6. Determine the unit worth of increasing the RHS of constraint (1) and the range for which this result is applicable. (12 pts) d. Find the optimality range of c2 for which the current optimum remains the same. (6 pts)