A small machine shop has one drilling and five milling machines, which are to be used to produce a finished product consisting of two parts, P1 and P2. The productivity of each machine for the two parts is given below: Production Time (Minutes per Piece) Part Profit ($ per Piece) Drilling Milling P1 4 3 20 P2 5 15 It is desired to maintain a balanced loading on all machines such that no machine runs for more than 30 min per day longer than any other machine (assume that the milling load is split evenly among all five milling machines). Formulate a linear program to divide the work time of each machine to maximize the profit assuming an 8 h working day. |

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A small machine shop has one drilling and five milling machines, which are
to be used to produce a finished product consisting of two parts, P1 and P2.
The productivity of each machine for the two parts is given below:
Production Time (Minutes per Piece)
Part
Profit ($ per Piece)
Drilling
Milling
P1
4
3
20
P2
5
15
It is desired to maintain a balanced loading on all machines such that no
machine runs for more than 30 min per day longer than any other machine
(assume that the milling load is split evenly among all five milling
machines). Formulate a linear program to divide the work time of each
machine to maximize the profit assuming an 8 h working day.
Transcribed Image Text:A small machine shop has one drilling and five milling machines, which are to be used to produce a finished product consisting of two parts, P1 and P2. The productivity of each machine for the two parts is given below: Production Time (Minutes per Piece) Part Profit ($ per Piece) Drilling Milling P1 4 3 20 P2 5 15 It is desired to maintain a balanced loading on all machines such that no machine runs for more than 30 min per day longer than any other machine (assume that the milling load is split evenly among all five milling machines). Formulate a linear program to divide the work time of each machine to maximize the profit assuming an 8 h working day.
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