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  • Provide solution for RD Sharma maths Class 12 Chapter 29 Linear Programming Exercise Multiple Choice Question Question 7 textbook solution.

Provide solution for RD Sharma maths Class 12 Chapter 29 Linear Programming Exercise Multiple Choice Question Question 7 textbook solution.

Answers (1)

Answer: (d) None of these

Hint:

Put the extracted intercepts on the graph

Given:  \text{z}_{\text{max}}=4x+3y subject to the constraints 3 x+2 y \geq 160,5 x+2 y \geq 200, x+2 y \geq 80, x, y \geq 0

Solution :

By the given constraints,

\begin{aligned} &3 x+2 y \geq 160,5 x+2 y \geq 200, x+2 y \geq 80 \\ &\left(\frac{x}{\frac{160}{3}}\right)+\left(\frac{y}{80}\right) \geq 1, \frac{x}{40}+\frac{y}{100} \geq 1 \\ &\frac{x}{80}+\frac{y}{40} \geq 1, x, y \geq 0 \end{aligned}

Now let’s plot the points in the graph

Graph moves outwards as per given situation. Therefore, we are getting unbounded region. So  Z_{max} cannot be determined. Thus, the correct option is (d)

 

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