Answered Essay: ​2.Find a solution to the following linear program using the graphical technique +3×2 2×1 +X2 S6 xi+ 2×26 X2 2 X22 a) Graph the problem and shade in the feasible region. Label the axes and all constraints b)Label all basic feasible solutions. How many are there?For each basic feasible solution indicate c) d) e) 1 ) Which variables are basic and which are nonbasic. 2) The value of each variable What are the x1 and x2 coordinates of the optimal solution? What is the z-value of the optimal solution? Which constraints are binding? Which are nonbinding? Please show work for how you reached answers for the different parts. Thanks! Show transcribed image text Find a solution to the following linear program using the graphical technique: max z = x1 + 3×2 s.t 2×1 + x2 lessthanorequalto 6 (1) x1 + 2×2 lessthanorequalto 6 (2) x1 + x2 lessthanorequalto 5 (3) x1 greaterthanorequalto 0 (4) x2 greaterthanorequalto 0 (5) a) Graph the problem and shade in the feasible region. Label the axes and all constraints. b) Label all basic feasible solutions. How many are there? For each basic feasible solution indicate 1) Which variables are basic and which are nonbasic. 2) The value of each variable. c) What are the x_1 and x_2 coordinates of the optimal solution? d) What is the z-value of the optimal solution? e) Which constraints are binding? Which are nonbinding? Expert Answer Amitde24 Amitde24 answered this 0 0 2,301 answers x1 x2 x1 x2 2 1


2.Find a solution to the following linear program using the graphical technique +3x2 2x1 +X2 S6 xi+ 2x26 X2 2 X22 a) Graph the problem and shade in the feasible region. Label the axes and all constraints b)Label all basic feasible solutions. How many are there?For each basic feasible solution indicate c) d) e) 1 ) Which variables are basic and which are nonbasic. 2) The value of each variable What are the x1 and x2 coordinates of the optimal solution? What is the z-value of the optimal solution? Which constraints are binding? Which are nonbinding?

Please show work for how you reached answers for the different parts. Thanks!

Find a solution to the following linear program using the graphical technique: max z = x1 + 3×2 s.t 2×1 + x2 lessthanorequalto 6 (1) x1 + 2×2 lessthanorequalto 6 (2) x1 + x2 lessthanorequalto 5 (3) x1 greaterthanorequalto 0 (4) x2 greaterthanorequalto 0 (5) a) Graph the problem and shade in the feasible region. Label the axes and all constraints. b) Label all basic feasible solutions. How many are there? For each basic feasible solution indicate 1) Which variables are basic and which are nonbasic. 2) The value of each variable. c) What are the x_1 and x_2 coordinates of the optimal solution? d) What is the z-value of the optimal solution? e) Which constraints are binding? Which are nonbinding?

Expert Answer

Answer
x1 x2 x1 x2
2 1 <= 6 3 6
1 2 <= 6 6 3
1 1 <= 5 5 5
Plotting the objective func 1 3 Value
0 5 15
1 2 7
2 1 5
3 0 3

So the Graphical solution provides: (0,3) and the optimal value is 9.

A, B,C D covered above.

There are just 4 integer solutions,

But there are infinite non integer solutions.

E. The binding constrain are conditions 4,5, and 1

Non binding are conditions: 2,3 (This is because there is slag when the x1 and x2 are put)

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