Tarea 1

INSTITUTO TECNOLÓGICO Y DE ESTUDIOS SUPERIORES
DE MONTERREY

UNIVERSIDAD VIRTUAL




METODOS DE OPTIMIZACION PARA LA TOMA DE DECISIONES
Tarea #1

Equipo #21
Acosta Dávila Raúl de JesúsBenavides Villarreal Tomas Gerardo
Castillo Monzón Cesar Iván
A00643015 - Rangel Hinojosa Pablo - 593915



Fecha de entrega: 26 de enero de 2015


Problema 1
Truckco manufactures twotypes of trucks: 1 and 2. Each truck must go through the painting shop and assembly shop. If the painting shop were completely devoted to painting Type 1 trucks, then 800 per day could be painted; if thepainting shop were completely devoted to painting Type 2 trucks, then 700 per day could be painted. If the assembly shop were completely devoted to assembling truck 1 engines, then 1,500 per day couldbe assembled; if the assembly shop were completely devoted to assembling truck 2 engines, then 1,200 per day could be assembled. Each Type 1 truck contributes $300 to profit; each Type 2 truckcontributes $500. Formulate (NOT SOLVE) an LP that will maximize Truckco’s profit.
Respuesta
Max Z ∑300 x1 + 500x2
s.a.
7x1 + 8 x2 ≤ 5600
12x1 + 15x2 ≤18000
x1 , x2 ≥ 0

Problema 2
Leary Chemicalmanufactures three chemicals: A, B, and C. These chemicals are produced via two production processes: 1 and 2. Running process 1 for an hour costs $4 and yields 3 units of A, 1 of B, and 1 of C.Running process 2 for an hour costs $1 and produces 1 unit of A and 1 of B. To meet customer demands, at least 10 units of A, 5 of B, and 3 of C must be produced daily. Graphically determine a dailyproduction plan that minimizes the cost of meeting Leary Chemical’s daily demands.
Min Z ∑4 x1 + 3x2
s.a.
3x1 + x2 ≥ 10
X1 + x2 ≥5
X1 ≥ 3
x1 , x2 ≥ 0




Respuesta:
Min Z ∑4 x1 + 3x2
X1 = 5X2 = 10



Problema 3
Furnco manufactures tables and chairs. Each table and chair must be made entirely out of oak or entirely out of pine. A total of 150 board ft of oak and 210 board ft of...