For the linear program:
Min 3A+B s.t.
4A+ B = 20 Constraint 1
A+ 2B = 7 Constraint 2
2.5A + 3B = 30 Constraint 3
-3A+ B = 0 Constraint 4
A,B = 0
Should be done manually (must show hand work).
Making "A" as the horizontal variable, graph the problem neatly. Show the feasible region. Label constraints on graphs.
Solve the problem. Show work. What is the optimal "A" and "B" values? What is the optimal objective function value?
based on the output provided in the last problem, what will be the objective function value if:
(i) The right side of constraint "1" decreased by 3.
(ii) The right side of constraint "2" increased by 2.
(iii) The right side of constraint "3" increased by 5.
(iv) The right side of constraint "4" decreased by 3.
(Explain how you answered the above based only on output from part a.)