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# A cable television company has its master antenna located at point A on the bank of a straight river 1 kilometer wise (Figure 1 above).

1. A cable television company has its master antenna located at point A on the bank of a straight river 1 kilometer wise (Figure 1 above). It is going to run a cable from A to a point P on the opposite bank of the river and then straight along the bank to a town T situated 3 kilometers downstream from A. It costs $15 per meter to run the cable under the water and $9 per meter to run the cable along the bank. What should be the distance from P to T in order to minimize the total cost of the cable? .. . A ..... .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. ................................