The following figure shows the ceiling locations of 3 sensors in a new factory relative to a coordinate system (in feet) with origin at the lower left.

A control box will be located along the long (lower in the figure) wall with fiber-optic cables running rectilinearly to each sensor. Designers want to place the box to minimize the cable required.

(a) Formulate a linearized nonlinear LP to choose an optimal placement.

(b) Enter and solve your model with the class optimization software.

(c) How much cable would be required to implement your solution of part (b)?

Transcribed Image Text:

y (10,15) (25, 10) (5,8) box x