A trapezoidal channel has side slopes 1 to 1. It is required to discharge 13.75 m3 /s of water with a bed gradient of 1 in 1000. If unlined, the value of chezys c=60. If lined with concrete, its value is 60. The cost per m3 of excavation is four times the cost per m2 lining. The channel is to be the most efficient one. Find whether the lined canal or the unlined channel will be cheaper. What will be the dimensions of that economical channel?
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