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  • Explain solution for RD Sharma Class 12 Chapter 29 Linear Programming Exercise Multiple Choice Question Question 19 maths textbook solution.

Explain solution for RD Sharma Class 12 Chapter 29 Linear Programming Exercise Multiple Choice Question Question 19 maths textbook solution.

Answers (1)

Answer : (b) \text {q = 2p}

Hint : Put the given corner points in \text {z = px + qy}

Given : Linear constraints (0,3),(1,1),(3,0)

Let \text {z = px + qy} where \text {p,q}>0

Solution:

\text {z}_{\text {min}}=\text {px + qy}

By the given corners,

\begin{aligned} &\mathrm{At}(1,1), z_{1}=p+q \\ \end{aligned}

\begin{aligned} &\mathrm{At}(3,0), z_{2}=3 p \end{aligned}

Now,

\begin{aligned} &z_{1}=z_{2} \\ \end{aligned}

\begin{aligned} &p+q=3 p \\ \end{aligned}

\begin{aligned} &q=2 p \end{aligned}

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