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49

Step-by-step Answer
PAGE: 224SET: ExercisesPROBLEM: 49
Please look in your text book for this problem Statement

Sum of the squares of the lengths of the vertical feeder lines is .

From the graph, equation of the trunk line is .

Consider .

Apply derivative on each side with respect to .

To minimizing sum function equate  to zero.

 

Equation of the trunk line is .

Sum of the lengths of the feeder lines is .

Substitute  in above expression.

Equation of the trunk line is .

Sum of the lengths of the feeder lines is .



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