Compute the linear programming problems

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Reference no: EM13711352

Problem 1- The linear program Max 3X1 + 2X2 is solved subject to the constraints i) X1 + X2 =<10 ii) 3X1 + X2 =< 24 iii) X1 + 2X2 =< 16 and iv) non-negativity for both X1 and X2. Which of the following statements is true?

a- The optimal solution occurs at (4, 6).

b- The optimal solution value is 27.

c- The optimal solution occurs at (8, 0) and the optimal value is 24.

d- The optimal solution occurs at the point (6, 6).

Problem 2- The linear program Max 3X1 + 2X2 is solved subject to the constraints i) X1 + X2 =< 10 ii) 3X1 + X2 =< 24 iii) X1 + 2X2 =< 16 and iv) non-negativity for both X1 and X2. After solving the linear program, the objective function coefficient for X1 is changed from 3 to 5.

Now the linear program is re-solved. Which of the following statements is true?

a- The new optimal solution occurs at (4, 6).

b- The new optimal solution occurs at (8, 0) and the optimal value is 30.

c- The new optimal solution occurs at the point (6, 6).

d- The new optimal solution value is 41.

I need help to compute the given linear programming problems and selects the suitable options.

Reference no: EM13711352

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