Tarea2Eq13 - Problema 1 (extrado del libro de texto,...

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Unformatted text preview: Problema 1 (extrado del libro de texto, problema 6, pgina 63) Farmer Jane owns 45 acres of land. She is going to plant each with wheat or corn. Each acre planted with wheat yields $200 profit; each with corn yields $300 profit. The labor and fertilizer used for each acre are given in Table 1. One hundred workers and 120 tons of fertilizer are available. Use linear programming to determine how Jane can maximize profits from her land. Tabla 1 Trigo Maz Mano de obra 3 trabajadores 2 trabajadores Fertilizante 2 t 4 t Solucion: Se define x1 como el nmero de acres plantadas de trigo y x2 como el nmero de acres plantadas de maz. Max z = 200x1 + 300x2 S.A x1 + x2 45 1 3x1 + 2x2 100 2 3x1 + 2x2 = 100 2x1 + 4x2 120 3 2x1 + 4x2 = 120 x1, x2 0 4 5x1 + 6x2 = 220 Para 1 Para 2 Para 3 x1 = 45 x1 = 33.33333 x1 = 60 x2 = 45 x2 = 50 x2 = 30 Puntos extremos Evaluacin de z en ptos extremos (0,0) (33.33,0) 6,666 (0,30) 9,000 (20,20) 10,000 Por lo tanto, lo mejor que puede hacer es plantar 20 acres de trigo y 20 acres de maz para obtener una ganancia de $10,000 Problema 2 (extrado del libro de texto, problema 5, pgina 104) During the next two months, General Cars must meet (on time) the following demands for trucks and cars: month 1400 trucks, 800 cars;...
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Tarea2Eq13 - Problema 1 (extrado del libro de texto,...

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