Question

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

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

Answer 1

Answer: (B)

Given : Rice =' $x$' quintals
wheat = '$y$' quintals
Profit: $₹40$ on per quintal of rice
$₹25$ on per quintal of wheat
$\therefore$ Net Profit $=40x+25y$
$\therefore$ The objective function to maximize profit is
$40x+25y$