Tarea2Eq13

Tarea2Eq13 - Problema 1(extraído del libro de texto...

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Problema 1 (extraído del libro de texto, problema 6, página 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 Maíz Mano de obra 3 trabajadores 2 trabajadores Fertilizante 2 t 4 t Solucion: Se define x1 como el número de acres plantadas de trigo y x2 como el número de acres plantadas de maíz. 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 Evaluación 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 maíz para obtener una ganancia de \$10,000 Problema 2 (extraído del libro de texto, problema 5, página 104) During the next two months, General Cars must meet (on time) the following demands for trucks and cars: month 1—400 trucks, 800 cars;...
View Full Document

{[ snackBarMessage ]}

Page1 / 4

Tarea2Eq13 - Problema 1(extraído del libro de texto...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online