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1) The box shown below is produced in a factory. Each box contains one body and two covers components. Cover Body Body Covers Cover Rectangular

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1) The box shown below is produced in a factory. Each box contains one body and two covers components. Cover Body Body Covers Cover Rectangular metal sheets are used for the manufacture of the boxes. Metal sheets are cut according to four different templates shown below. Template 1 Template 2 Template 3 Template 4 Ooo OOO O O ooo OOO OC O C C The table below contains information about the templates Template 2 3 The number of "body" it has 2 The number of "cover" it has 7 1 Scrap amount 12 cm2 10 cm 17 cm2 6 cm2 Cutting time (in minutes) 3 2.5 4 1.5 Profit from each box is $12. The cost of 1 cm of metal sheet scrap is $0.5. . . . 35 hours per week can be spent for box production. 27 metal sheets per week can be supplied for production. Stock is empty at the beginning of the week. When the week ends, it costs $2 per each unused body and $0.5 per each unused cover. . All produced boxes are sold. Create a mathematical model to maximize weekly profit

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