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13-7. Klein Industries manufactures three types of portable air compressors: smaSMMDMIN14,000 6,200 MAX21,000 12,500 Order Producted 117,000 234,000 Auxiliary Variables 117,000 234,000 Profit per unit$ 20.50 $ 34.00 Total Profit$ 2,398,500.00 $ 7,956,000.00 Bending/Forming0.40.7Welding0.61.0Painting 1.42.6Production Time Per Item2.44.3Total Production Time (mins)280,800.00 1,006,200.00 Profit/Production TIme$ 8.54 $ 7.91 How many of each type of air compressor should the company produce to maxima. Formulate and solve a linear optimization model using the auxiliary variable b. Solve the model without the auxiliary variables and explain the relationship The production process consists of three primary activities: bending and forming, welding