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. $25 x + 40 y$
• B. $40x + 25 y$
• 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 $=40\, x+25\, y$
$\therefore $ The objective function to maximize profit is
$40\, x+25\, y$