A firm has a branch store in each of the three cities \( A, B \) and \( C \). Stores in cities \( A \) and \( B \) are \( 320 \mathrm{~km} \) apart and in city \( C \) is \( 200 \mathrm{~km} \) from each of them. The firm wants to build a godown equidistant from stores in cities \( A \) and \( B \) and the sum of its distances from all the stores is least. Based on the above information answer the following questions:
If \( y=G A+G B+G C \), then \( \frac{d^{2} y}{d x^{2}} \) is equal to
- (a) \( \frac{25600}{\sqrt{x^{2}-25600}} \)
(b) \( \frac{25600}{x^{2}-25600} \)
(c) \( \frac{25600}{\left(x^{2}-25600\right)^{3 / 2}} \)
(d) \( \frac{25600 x^{2}}{\left(x^{2}-25600\right)^{3 / 2}} \)
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