A process currently services an average of 5050 customers per day. Observations in recent weeks show that its utilization is about 90 percent, allowing for just a 10 percent capacity cushion. If demand is expected to be 7575 percent of the current level in five years and management wants to have a capacity cushion of just 55 percent, what capacity requirement should be planned?

Question

contestada

Respuesta :

farisfekeri farisfekeri · Answer 1 · 2020-04-20T11:23:31+02:00

Answer:

40 customers per day

Step-by-step explanation:

Let x be the capacity requirement

Assuming capacity cushion of 5%, the utilization would be

100% - 95% = 5% and services is processed at a rate of 50 customers per day with utilization of 90%.

To calculate capacity requirement in 5 years:

Expected demand rate: 75%

Utilization rate: 90%

[tex]\frac{x}{U} = D . \frac{S}{Uc}[/tex]

where U = required utilization = 0.95

D = expected demand rate = 0.75

S = current service rate = 50 customers per day

Uc = current utilization = 0.9

[tex]x = D . \frac{S}{Uc}. U = (0.75).(\frac{50}{0.9} ).(0.95)[/tex]

x = 39.6 ≈ 40 customers per day