NCERT Class 12-Mathematics: Chapter –12 Linear Programming Part 5

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Question 3:

Maximise the function, subject to the constraints: .

Answer:

Question 4:

Minimise subject to the constraints: .

Answer:

Question 5:

Determine the maximum value of if the feasible region (shaded) for a LPP is shown in Fig.12.7.

Fig-12.7-The feasible region (shaded) for a LPP

The Feasible Region (Shaded) for a LPP

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Question 6:

Feasible region (shaded) for a LPP is shown in Fig. 12.8.

Maximise Z = 5x + 7y.

Fig.12.8-Feasible region (shaded) for a LPP

Feasible Region (Shaded) for a LPP

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Question 7:

The feasible region for a LPP is shown in Fig. 12.9. Find the minimum value of .

Fig.12.9-Find the minimum value

Find the Minimum Value

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Question 8:

Refer to Exercise above. Find the maximum value of Z.

Answer:

Question 9:

The feasible region for a LPP is shown in Fig. 12.10. Evaluate at each of the corner points of this region. Find the minimum value of Z, if it exists.

Fig.12.10-Find the minimum value of Z

Find the Minimum Value of Z

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Question 10:

In Fig. 12.11, the feasible region (shaded) for a LPP is shown. Determine the maximum and minimum value of

Fig.12.11-Determine the maximum and minimum value

Determine the Maximum and Minimum Value

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Answer: