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) ?

Question

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) ?

Accepted Answer

maximize $$Z=0.08 x+0.09 y$$ $$x \geq 15000$$ $$y \geq 25000$$ $$x+y \leq 75000$$ $$\mathrm{x} \leq \mathrm{y}$$ $$x, y \geq 0$$

Answer

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

Answer

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

Answer

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

Solution

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