Mirza Manufacturing makes four electronic products, each of which comprises three main materials: magnet, wiring, and casing. The products are shipped to three distribution centers in North America, Europe, and Asia. Marketing has specified that no location should receive more than the maximum demand and should receive at least the minimum demand. The material costs/ unit are magnet—$ 0.59, wire—$ 0.29, and casing—$ 0.31. The following table shows the number of units of each material required in each unit of end product and the production cost per unit.

Develop an appropriate linear optimization model to maximize net profit.

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Production Product Cost/Unit Magnets Wire Casing $0.25 $0.35 $0.15 $0.10 2 3 2 2 2 Min Demand Product NA EU Asia 850 700 1,100 1,500 100 200 800 3,500 2,000 Max Demand Product NA 2,550 2,100 3,300 4,500 EU Asia 2,700 600 1,500 2,400 1,800 10,500 6,000 Packaging and Shipping Cost/Unit Product NA $0.20 $0.18 $0.18 $0.17 EU $0.25 $0.22 $0.22 $0.20 Asia $0.35 $0.30 $0.25 Unit Sales Revenue NA $4.00 $3.70 $2.70 $6.80 EU $4.50 $3.90 $2.90 $6.50 Product Asia $4.55 $3.95 $2.40 $6.90 Available Raw Material Magnet Wire Casing 120,000 50,000 40,000