Question

A wholesale merchant wants to start the business of cereal with $\mathrm{RS}24000$. Wheat is $\mathrm{RS}400$ per quintal and rice is $\mathrm{RS}=600$ per quintal. He has the capacity to store $200$ quintal cereal. He earns the profit of $\mathrm{RS}25$ per quintal on wheat and $\mathrm{RS}40$ per quintal on rice. If he stores x quintal rice and y quintal wheat, then maximum profit of the objective function is

• A. $25x+40y$
• B. $40x+25y$
• C. $400x+600y$
• D. $\frac{400}{40}x+\frac{600}{25}y=$

Answer 1

The correct option is B

$40x+25y$

Explanation for correct option:

Let, the quantity of the rice is $x$ quintal and wheat is $y$ quintal.

According to question profit: rice per quintal is $40\mathrm{rupees}$ per quintal and for wheat is $25\mathrm{rupees}$ per quintal.

Therefore, Net profit is $40x+25y$

Hence, option $\left(B\right)$ is correct.