A Bakery produces two types of cakes Chocolate and Vanilla . The Bakery has limited resources of flour (500 kg) and sugar (300 kg).

• Each chocolate cake requires 5 kg flour and 3 kg sugar.
• Each vanilla cake requires 2 kg flour and 4 kg sugar.
• Profit on chocolate cake = Rs. 400
• Profit on vanilla cake = Rs. 300

Write down the mathematical inequalities representing flour and sugar constraints.

$\begin{matrix}5x+2y≤500\\3x+4y≤300\\x,y≥0\end{matrix}$

The correct answer is Option (1) → $\begin{matrix}5x+2y≤500\\3x+4y≤300\\x,y≥0\end{matrix}$

$x$ → Chocolate cake

$y$ → Vanilla cake

$5x+2y≤500$ → flour constraint

$3x+4y≤300$ → sugar constraint

$x,y≥0$ → Non-zero constraint