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# Linear programming : Quantitative Methods for Business

All I need is for someone to show me how to put this linear programming problem in standard form. Solution not necessary. (e.g., Max 30x1 + 50x2 +20x3 etc...) with the constraints. Thank you!

See attachment for table and full problem.

Better Products Inc. manufactures three products on two machines. In a typical week, 40 hours are available on each machine. The profit contribution and production time in hours per unit follows:
Category Product 1 Product 2 Product 3
Profit/unit \$30 \$50 \$20
Machine 1 time/unit 0.5 2.0 0.75
Machine 2 time/unit 1.0 1.0 0.5

Two operators are required for machine 1; thus, 2 hours of labor must be scheduled for each hour of machine 1 time. Only one operator is required for machine 2. A maximum of 100 labor-hours is available for assignment to the machines during the coming week. Other production requirement are that product 1 cannot account for more than 50% of the units produced and that product 3 must account for at least 20% of the units produced

\$2.19