Problem: A steel mill produces two types of steel alloy: boral and chromal. Production of each alloy requires three processes: Box anneal, Cold Roll, and Strand anneal. Production capacities are:
Box anneal: 4,000 hours/month
Cold Roll: 500 hours/month
Strand anneal: 1,000 hours/month
Production rates in tons per hour are:
Box anneal Cold roll pass 1 Strand anneal Cold roll pass 2
Boral 4 72 11 36
Chromal 2 Not required 20 24
The maximum demand for boral is 10,500 tons/month and for chromal 6,000 tons/month. The contributions/ton are boral: $25, and chromal: $35.
Question:
What combination of boral and chromal maximizes total monthly contribution?