A shop must assemble 300 units of an item L consisting of 1 part of M and 2 parts of G. The shop has one assembly department and three manufacturing departments, with two machines of different types in each manufacturing department. Consider manufacturing departments such as D, E, and F and their machines D1, D2, E1, E2, F1, and F2 respectively, each part is processed through manufacturing departments, sometimes on just one machine, sometimes on both machines. the same department. The M part is processed on machines D1, D2 and F2 and on one of the two machines in department E (E1 or E2). Part G is processed in machine D2 and in one of the two in department E (E1 or E2) and in one of the two in department F (F1 or F2). The time required by parts M and G is detailed below: PARTE M PARTE G MAQUINA MIN/PIEZA MAQUINA MIN/PIEZA D1 4 D2 3 D2 1 E1 2 E1 6 E2 3 E2 2 F1 6 F2 4 F2 4 Cada parte G se ensambla a razn de una por minuto y cada parte M a razn de 10 por minuto. La facilidad de ensamble es la misma y el tiempo disponible en la ensambladora es de 20 horas. Se dispone as mismo de 40 horas en cada mquina de los departamentos de fabricacin. Los costos por minuto de cada mquina de detallan a continuacin: MATERIAL $/PARTE D1 D2 E1 E2 F1 F2 PARTE M 1000 100 300 200 150 250 250 PARTE G 2000 100 300 200 150 50 250 E The cost per part assembled is estimated at $ 500 for part M and $ 400 for part G. Formulate the linear model that represents the problem of minimizing costs.