TCS Company

A power unit is by the bank of a river 1500m wide.
It is required to construct a power plant on the side of the river opposite to the power unit and 3000mfrom the unit.
A cable has to be laid from the power unit to the power plant.
The cost of laying the cable under water and on the land is Rs 100 per m and Rs 10 per m respectively.
If we want to minimize the total cost of laying the cable,
where should the plant be located?

750 m from the river bank
1500 m from the river bank
1200 m from the river bank
3000 m from the river bank

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