CUET CUET Mathematics 2024 - A person wants to invest an amount of ₹ 75,000. He has two options A and B yielding 8 \% and 9 \% return respectively on the invested amount. He plans to invest at least ₹ 15,000 in Plan A and at least ₹ 25,000 in Plan B. Also he wants that his investment in Plan A is less than or equal to his investment in Plan B. Which of the following options describes the given LPP to maximize the return (where x and y are investments in Plan A and Plan B respectively) ? | PYQs + Solutions

CUET Mathematics 2024

Algebra

Linear Programming

Medium

A person wants to invest an amount of ₹ $75,000$ . He has two options A and B yielding $8 \%$ and $9 \%$ return respectively on the invested amount. He plans to invest at least ₹ $15,000$ in Plan A and at least ₹ $25,000$ in Plan B. Also he wants that his investment in Plan A is less than or equal to his investment in Plan B. Which of the following options describes the given LPP to maximize the return (where $x$ and $y$ are investments in Plan A and Plan B respectively) ?

\operatorname{maximize} \mathrm{Z}=0.08 \mathrm{x}+0.09 \mathrm{y}

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\begin{aligned} & x \geq 15000 \\ & y \geq 25000 \\ & x+y \geq 75000 \\ & x \leq y \\ & x, y \geq 0 \end{aligned}

\begin{aligned} & \operatorname{maximize} Z=0.08 x+0.09 y \\ & x \geq 15000 \\ & y \leq 25000 \\ & x+y \geq 75000 \\ & x \leq y \\ & x, y \geq 0 \end{aligned}

\begin{aligned} & \operatorname{maximize} Z=0.08 x+0.09 y \\ & x \geq 15000 \\ & y \geq 25000 \\ & x+y \leq 75000 \\ & x \geq y \\ & x, y \geq 0 \end{aligned}

maximize

Z=0.08 x+0.09 y

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x \geq 15000

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y \geq 25000

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x+y \leq 75000

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\mathrm{x} \leq \mathrm{y}

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x, y \geq 0

Correct Option: 4

Will be added.