Question: 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,

A small machine shop has one drilling and five

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) Drilling Milling Part Profit ($ per Piece) P1 P2 4 5 3 5 20 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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