contestada

Dean Smith is dissatisfied with the time it takes to get a new faculty ID made and believes more servers will speed up service and reduce costs thanks to shorter lines. Prof. Karen is tasked to study the situation. Prof. Karen observes an average of 20 customers/hr arriving and each technician (service window) serves 5 customer/hr, on average. Assume an M/M/s queue system. Prof. Karen calculates the operational cost of each server as $20/hr, and assumes a cost of waiting in the SYSTEM as $25/hr per customer. What is the optimal number of service windows to minimize total cost

Respuesta :

Talanat
The answer is :

X = 4

Explanation:

The optimal number of service windows to minimize total cost will be 5 service windows.

How to calculate the optimal value?

The optimal number of service windows to minimize total cost will be calculated thus:

Cost = 20x + 25(20 - 5x)

Cost = 20x + 500 - 125x

Cost = 500 - 105x

For the minimum cost,

500 - 105x = 0

105x = 500

x = 500/105

x = 4.76 = 5

Therefore, the optimal number of service windows to minimize total cost will be 5 service windows.

Learn more about cost on:

https://brainly.com/question/25109150

#SPJ2

Otras preguntas