$A$ tank with a rectangular base and rectangular sides, open at the top is made. The depth of the tank is $4 \text{ m}$ and its volume is $36 \text{ m}^3$. The cost of the base material is $\text{Rs. } 100 \text{ per m}^2$ and the cost of the side material is $\text{Rs. } 50 \text{ per m}^2$. Find the minimum cost of the tank.

  • A
    $\text{Rs. } 1100$
  • B
    $\text{Rs. } 2200$
  • C
    $\text{Rs. } 3300$
  • D
    $\text{Rs. } 4400$

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