Set up the problem but unsure where to go from here. Any guidance is appreciated.
Incline electronics produces three different products in a plant that is open 40 hours per week. Each product requires the following processing times.
Product 1 Product 2 Product 3 Available
Machine 1 2 2 1 10 Machines
Machine 2 3 4 6 6 Machines
Machine 3 4 6 5 2 Machines
Each machine must be run by one of 19 cross-trained workers who are each available 35 hours per week. The plant has 10 type 1 machine available, 6 type 2 machines available, and 8 type 3 machines available. Products 1,2, and 3 contribute $90, $120, and $150 respectively, in marginal profit per unit produced.
Machine 1 Machine 2 Machine 3
Total Profit
Profit $90 $120 $150 $0
Product 1 Product 2 Product 3 Used Emp / Mach Available
Machine 1 2 2 1 0 1 10 Machines
Machine 2 3 4 6 0 1 6 Machines
Machine 3 4 6 5 0 1 2 Machines