análisis de decisiones

PROBLEMA 2
2. A company makes two products (X and Y ) using two machines (A and B ). Each unit of X that is produced requires 50 minutes proces sing time onmachine A and 30 minutes proces sing time
on machine B. Each unit of Y that is produced requires 24 minutes processing time on machine A and 33 minutesprocessing time on machine B.
At the start of the current week there are 30 units of X and 90 units of Y in stock. Available
processing time onmachine A is forecast to be 40 hours and on machine B is forecast to be 35 hours.
The demand for X in the current week is forecast to be 75 units and for Y isforecast to be 95
units. Company policy is to maximise the combined sum of the units of X and the units of Y in
stock at the end ofthe week.• Formulate the problem of deciding how much of each product to make in the current week asalinear program

(Maximizarel número óptimo de unidades a producir en la semana, de manera que se venda todo el producto tanto lo generado + lo existente )
1.- MODO GRÁFICODescripción de las variables :
X= es el número a producir en la semana actual
Y= es el número a producir en la semana actualobjetivo a buscar :
Max Z = (x + 30 -75 ) + (y + 90 -95) (núm. de producto a producir + existencias - la demanda)
Max Z = x + y -50Bajo las restricciones siguientes, ( Las unidades en minutos).

50X +24y = 95-90

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