The parts produced by three machines along a factory aisle (shown in Figure 2.110 as the x axis) are to be taken to a nearby bench for assembly before they undergo further processing. Each assembly takes one part from each machine. There is a fixed cost per metre for moving any of the parts. Show that if x represents the position of the assembly bench the cost C(x) of moving the parts for each assembled item is given by

Draw the graph of d(x) and find the optimal position of the bench.

Transcribed Image Text:

C(x) x d(x) where d(x) = x + 3| + |x 2| + |x 4]. -4-3-2-1 0 1 2 3 4 5 x Figure 2.110