Cake-$A$ requires $200\, g$ of flour and $25\, g$ of fat. Cake-$B$ requires $100\, g$ of flour and $50\, g$ of fat. Find the maximum number of cakes which can be made from $5\, kg$ of flour and $1\, kg$ of fat. The mathematical form of this $LPP$ is $.....$

• A
  $Z=x+y, 2x+y \leq 50, x+2y \leq 40, x \geq 0, y \geq 0$
• B
  $Z=x+y, 2x+y \leq 5, x+2y \leq 1, x \geq 0, y \geq 0$
• C
  $Z=x+y, 200x+100y \leq 5, 25x+50y \leq 1, x \geq 0, y \geq 0$
• D
  $Z=x+y, 200x+100y \geq 5, 25x+50y \geq 1, x \geq 0, y \geq 0$