For the following questions, consider the linear programming below. Make sure to include the sensitivity and limit reports on your calculations file for grading.

Maximize50A+50B s.t. Constraint 112A+20B1000Constraint 220A 900Constraint 312A+10B800Constraint 4 15B850 A, B0

What is the optimal solution for this LP?

For the following questions, consider the linear programming below. Make sure to include the sensitivity and limit reports on your calculations file for grading.

Maximize50A+50B s.t. Constraint 112A+20B1000Constraint 220A 900Constraint 312A+10B800Constraint 4 15B850 A, B0

What is the optimal solution for this LP?

Question at position 14

14

4 points

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Question at position 14

What is the optimal value of the objective function?

What is the optimal value of the objective function?

3200

3600

3400

2800

Question at position 15

15

4 points

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Question at position 15

What are the optimal values of the two decision variables?

What are the optimal values of the two decision variables?

A = 45, B = 26

A = 45, B = 0

A = 45, B = 23

A = 45, B = 56.667

Question at position 16

16

4 points

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Question at position 16

Based on the results of your sensitivity analysis, identify the range of optimality for each objective function coefficient?

Based on the results of your sensitivity analysis, identify the range of optimality for each objective function coefficient?

A (30, 50) and B (10, 40)

A (20, ) and B (30, )

A (30, ) and B (0, 83.33)

A (-20, 50) and B (30, 40.33)

Question at position 17

17

4 points

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Question at position 17

Based on the results of your sensitivity analysis, what are the ranges of feasibility for constraint 1 on this LP?

Based on the results of your sensitivity analysis, what are the ranges of feasibility for constraint 1 on this LP?

(422.5, 447.50)

(420, 460)

(0, 420)

(540, 1060)

Question at position 18

18

4 points

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Question at position 18

Based on the results of your sensitivity analysis, what are the ranges of feasibility for constraint 4 on this LP?

Based on the results of your sensitivity analysis, what are the ranges of feasibility for constraint 4 on this LP?

(345, 850)

(, 505)

(345, )

(505, 850)

Question at position 19

19

4 points

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Question at position 19

What constraints are binding?

What constraints are binding?

Constraints 1 and 4

All constraints are binding

Constraints 1 and 2

No constraints are binding